MRY Ch 2.1 Slope Intercept Form (40pts)

Last updated over 2 years ago

27 questions

Instructions

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2

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3

A.CED.2

F.IF.7.a

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A.CED.2

F.IF.7.a

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A.CED.2

A.SSE.1.a

F.IF.7.a

Library

MRY Ch 2.1 Slope Intercept Form (40pts)

Last updated over 2 years ago

27 questions

Instructions

Review the Notes included below on Slope Intercept Form & Watch the embedded videos for lessons.
Objectives:
1) Identify the slope and y-intercept
2) Write equations in slope intercept form
3) Find slope given 2 points
4) Graph equations given slope intercept form

1

A.SSE.1.a

F.LE.5

1

A.SSE.1.a

F.LE.5

1

A.SSE.1.a

F.LE.5

1

A.SSE.1.a

F.LE.5

Question 5

01:21

Question 6

01:32

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2

1

A.CED.2

1

A.CED.2

F.LE.2

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2

A.CED.2

F.LE.2

3

Graph the equation: y = 2x +2

Instructions

Click a Graph tab (Graph 1, Graph 2, and so on) for each graph you need to plot.
Click on the graph background to add a point. Add two points to create a graph. Drag a point or type in x and y coordinates to edit its position. Click on a point to delete it.
After creating your graph, you can check the dashed line box.

3

Graph the equation:

Instructions

Click a Graph tab (Graph 1, Graph 2, and so on) for each graph you need to plot.
Click on the graph background to add a point. Add two points to create a graph. Drag a point or type in x and y coordinates to edit its position. Click on a point to delete it.
After creating your graph, you can check the dashed line box.

3

Problem 5 Got It? Graph the linear equation.
Be sure to include relevant graph detail: label axes, indicate units on both axes, and use arrows to represent end behavior, as appropriate.

A.CED.2

F.IF.7.a

3

Problem 5 Got It? Graph the linear equation.
Be sure to include relevant graph detail: label axes, indicate units on both axes, and use arrows to represent end behavior, as appropriate.

A.CED.2

F.IF.7.a

2

Problem 6 Got It? A plumber charges a $65 fee for a repair plus $35 per hour. Write an equation to model the total cost y of a repair that takes x hours.

Write your equation in slope-intercept form, like this: y = 27x + 93

3

Problem 6 Got It? A plumber charges a $65 fee for a repair plus $35 per hour. Construct a graph to model the total cost.

Be sure to include relevant graph detail: label axes, indicate units on both axes, and use arrows to represent end behavior, as appropriate.

A.CED.2

A.SSE.1.a

F.IF.7.a

Review the Notes included below on Slope Intercept Form & Watch the embedded videos for lessons.
Objectives:
1) Identify the slope and y-intercept
2) Write equations in slope intercept form
3) Find slope given 2 points
4) Graph equations given slope intercept form

What is the slope of the graph of the equation?

5

-5

4/5

What is the y-intercept of the graph of the equation?

5/4or (0,\frac{5}{4})

1/4or (0,\frac{1}{4})

-4 or (0,-4)

How does the graph of the line y=5x-4 change if the y-intercept is moved down 3 units and the slope remains unchanged?

The entire line is moved down 3 units.

The entire line is moved up 3 units.

The entire line becomes less steep.

The entire line becomes steeper.

How does the equation of the line y=5x-4 change if the y-intercept is moved down 3 units and the slope remains unchanged?

The 5 becomes an 8 and the -4 becomes a -7.

The 5 remains unchanged and the -4 becomes a -7.

The 5 becomes an 8 and the -4 remains unchanged.

What are the slope and y -intercept of the graph of the equation?

-\frac{1}{2}
1/2
-\frac{2}{3}
2/3

Slope
y-intercept

1

A.CED.2

Find the slope given the points (0,1) and (2,2)

2

-1/2

1/2

-2

Find the slope given the points (-2,-6) and (1,2)

3/8

8/3

3/4

4

Find the y-intercept given the same points of (-2,-6) and (1,2)

-2/3

5

1/3

-2

2

A.CED.2

F.LE.2

Graph the equation: y = 2x +2

Instructions

Click a Graph tab (Graph 1, Graph 2, and so on) for each graph you need to plot.
Click on the graph background to add a point. Add two points to create a graph. Drag a point or type in x and y coordinates to edit its position. Click on a point to delete it.
After creating your graph, you can check the dashed line box.

Graph the equation:

Instructions

Click a Graph tab (Graph 1, Graph 2, and so on) for each graph you need to plot.
Click on the graph background to add a point. Add two points to create a graph. Drag a point or type in x and y coordinates to edit its position. Click on a point to delete it.
After creating your graph, you can check the dashed line box.

Problem 5 Got It? Graph the linear equation.
Be sure to include relevant graph detail: label axes, indicate units on both axes, and use arrows to represent end behavior, as appropriate.

Problem 6 Got It? A plumber charges a $65 fee for a repair plus $35 per hour. Write an equation to model the total cost y of a repair that takes x hours.

Write your equation in slope-intercept form, like this: y = 27x + 93

Problem 6 Got It? A plumber charges a $65 fee for a repair plus $35 per hour. Construct a graph to model the total cost.

Be sure to include relevant graph detail: label axes, indicate units on both axes, and use arrows to represent end behavior, as appropriate.

Solve It! Bamboo can grow very quickly. The graph models the growth of a bamboo plant. Identify the point where the line crosses the vertical (Height) axis.

(0,20)

(15,35)

(20,40)

Solve It! What does this point where the line crosses the vertical axis tell you about the bamboo plant?

The plant was 0 feet tall at the start (time = 0).

The plant grew 20 feet each day.

The plant was 20 feet tall at the start (Time = 0).

Solve It! Identify the slope of the line.
HINT: The plant grows in height from 20 feet to 30 feet in the first 10 days.

1

15

5

Solve It! What does the slope tell you about the bamboo plant?

The plant was 20 feet tall at the start.

The plant grows at a rate of 1 foot per day.

What is the slope of the line y = -1/2 x + 2/3 ?

2/3

1/2

-1/2

-3/2

For the equation y= -1/2 x + 2/3 , how does the graph and equation change if the y-intercept is moved down 3 units?

the graph shifts down 3 units and the equation will have a negative sign before 'b'.

the graph shifts down 2-1/2 units and will slope in the opposite direction.

the graph will slope in the opposite direction and the slope will become negative

What is the slope of the graph of the equation?

5

-5

4/5

What is the y-intercept of the graph of the equation?

5/4or (0,\frac{5}{4})

1/4or (0,\frac{1}{4})

-4 or (0,-4)

How does the graph of the line y=5x-4 change if the y-intercept is moved down 3 units and the slope remains unchanged?

The entire line is moved down 3 units.

The entire line is moved up 3 units.

The entire line becomes less steep.

The entire line becomes steeper.

How does the equation of the line y=5x-4  change if the y-intercept is moved down 3 units and the slope remains unchanged?

The 5 becomes an 8 and the -4 becomes a -7.

The 5 remains unchanged and the -4 becomes a -7.

The 5 becomes an 8 and the -4 remains unchanged.

What are the slope and y -intercept of the graph of the equation?

-\frac{1}{2}

1/2

-\frac{2}{3}

2/3

Slope

y-intercept

Problem 2 Got It?

A

B

C

D

Problem 3 Got It? What do you expect the slope of the line to be (simply from looking at the graph)?

positive

negative

undefined

0

Problem 3 Got It? What is the slope of the line shown in the image?

3

-1

-2

Problem 3 Got It? Where is the y-intercept of the line shown in the image?

Problem 3 Got It? What are the coordinates of the y-intercept of the line shown in the image?

(0,2)

(4,0)

(3,2)

Problem 3 Got It? What is an equation of the line shown in the graph?
HINT: Recall slope-intercept form.

y = 2x + 1

y = -2x + 2

y = -x + 2

Find the slope given the points (0,1) and (2,2)

2

-1/2

1/2

-2

Find the slope given the points (-2,-6) and (1,2)

3/8

8/3

3/4

4

Find the y-intercept given the same points of (-2,-6) and (1,2)

-2/3

5

1/3

-2

Problem 4 Got It?

A

B

C

D

Solve It! Bamboo can grow very quickly. The graph models the growth of a bamboo plant. Identify the point where the line crosses the vertical (Height) axis.

(0,20)

(15,35)

(20,40)

Solve It! What does this point where the line crosses the vertical axis tell you about the bamboo plant?

The plant was 0 feet tall at the start (time = 0).

The plant grew 20 feet each day.

The plant was 20 feet tall at the start (Time = 0).

Solve It! Identify the slope of the line.
HINT: The plant grows in height from 20 feet to 30 feet in the first 10 days.

1

15

5

Solve It! What does the slope tell you about the bamboo plant?

The plant was 20 feet tall at the start.

The plant grows at a rate of 1 foot per day.

What is the slope of the line y = -1/2 x + 2/3 ?

2/3

1/2

-1/2

-3/2

For the equation y= -1/2 x + 2/3 , how does the graph and equation change if the y-intercept is moved down 3 units?

the graph shifts down 3 units and the equation will have a negative sign before 'b'.

the graph shifts down 2-1/2 units and will slope in the opposite direction.

the graph will slope in the opposite direction and the slope will become negative

Problem 2 Got It?

A

B

C

D

Problem 3 Got It? What do you expect the slope of the line to be (simply from looking at the graph)?

positive

negative

undefined

0

Problem 3 Got It? What is the slope of the line shown in the image?

3

-1

-2

Problem 3 Got It? What are the coordinates of the y-intercept of the line shown in the image?

(0,2)

(4,0)

(3,2)

Problem 3 Got It? What is an equation of the line shown in the graph?
HINT: Recall slope-intercept form.

y = 2x + 1

y = -2x + 2

y = -x + 2

Problem 4 Got It?

A

B

C

D

MRY Ch 2.1 Slope Intercept Form (40pts)

MRY Ch 2.1 Slope Intercept Form (40pts)

Graph the equation: y = 2x +2

Graph the equation:

Problem 5 Got It? Graph the linear equation.Be sure to include relevant graph detail: label axes, indicate units on both axes, and use arrows to represent end behavior, as appropriate.

Problem 5 Got It? Graph the linear equation.Be sure to include relevant graph detail: label axes, indicate units on both axes, and use arrows to represent end behavior, as appropriate.

Problem 6 Got It? A plumber charges a $65 fee for a repair plus $35 per hour. Write an equation to model the total cost y of a repair that takes x hours.Write your equation in slope-intercept form, like this: y = 27x + 93

Problem 6 Got It? A plumber charges a $65 fee for a repair plus $35 per hour. Construct a graph to model the total cost.Be sure to include relevant graph detail: label axes, indicate units on both axes, and use arrows to represent end behavior, as appropriate.

What is the slope of the graph of the equation?

What is the y-intercept of the graph of the equation?

How does the graph of the line y=5x-4 change if the y-intercept is moved down 3 units and the slope remains unchanged?

How does the equation of the line y=5x-4 change if the y-intercept is moved down 3 units and the slope remains unchanged?

What are the slope and y -intercept of the graph of the equation?

Problem 3 Got It? Where is the y-intercept of the line shown in the image?

Find the slope given the points (0,1) and (2,2)

Find the slope given the points (-2,-6) and (1,2)

Find the y-intercept given the same points of (-2,-6) and (1,2)

Graph the equation: y = 2x +2

Graph the equation:

Problem 5 Got It? Graph the linear equation.Be sure to include relevant graph detail: label axes, indicate units on both axes, and use arrows to represent end behavior, as appropriate.

Problem 5 Got It? Graph the linear equation.Be sure to include relevant graph detail: label axes, indicate units on both axes, and use arrows to represent end behavior, as appropriate.

Problem 6 Got It? A plumber charges a $65 fee for a repair plus $35 per hour. Write an equation to model the total cost y of a repair that takes x hours.Write your equation in slope-intercept form, like this: y = 27x + 93

Problem 6 Got It? A plumber charges a $65 fee for a repair plus $35 per hour. Construct a graph to model the total cost.Be sure to include relevant graph detail: label axes, indicate units on both axes, and use arrows to represent end behavior, as appropriate.

Solve It! Bamboo can grow very quickly. The graph models the growth of a bamboo plant. Identify the point where the line crosses the vertical (Height) axis.

Solve It! What does this point where the line crosses the vertical axis tell you about the bamboo plant?

Solve It! Identify the slope of the line.HINT: The plant grows in height from 20 feet to 30 feet in the first 10 days.

Solve It! What does the slope tell you about the bamboo plant?

What is the slope of the line y = -1/2 x + 2/3 ?

For the equation y= -1/2 x + 2/3 , how does the graph and equation change if the y-intercept is moved down 3 units?

Problem 2 Got It?

Problem 3 Got It? What do you expect the slope of the line to be (simply from looking at the graph)?

Problem 3 Got It? What is the slope of the line shown in the image?

Problem 3 Got It? Where is the y-intercept of the line shown in the image?

Problem 3 Got It? What are the coordinates of the y-intercept of the line shown in the image?

Problem 3 Got It? What is an equation of the line shown in the graph?HINT: Recall slope-intercept form.

Problem 4 Got It?

Problem 5 Got It? Graph the linear equation.
Be sure to include relevant graph detail: label axes, indicate units on both axes, and use arrows to represent end behavior, as appropriate.

Problem 5 Got It? Graph the linear equation.
Be sure to include relevant graph detail: label axes, indicate units on both axes, and use arrows to represent end behavior, as appropriate.

Problem 6 Got It? A plumber charges a $65 fee for a repair plus $35 per hour. Write an equation to model the total cost y of a repair that takes x hours.

Write your equation in slope-intercept form, like this: y = 27x + 93

Problem 6 Got It? A plumber charges a $65 fee for a repair plus $35 per hour. Construct a graph to model the total cost.

Be sure to include relevant graph detail: label axes, indicate units on both axes, and use arrows to represent end behavior, as appropriate.

Problem 5 Got It? Graph the linear equation.
Be sure to include relevant graph detail: label axes, indicate units on both axes, and use arrows to represent end behavior, as appropriate.

Problem 5 Got It? Graph the linear equation.
Be sure to include relevant graph detail: label axes, indicate units on both axes, and use arrows to represent end behavior, as appropriate.

Problem 6 Got It? A plumber charges a $65 fee for a repair plus $35 per hour. Write an equation to model the total cost y of a repair that takes x hours.

Write your equation in slope-intercept form, like this: y = 27x + 93

Problem 6 Got It? A plumber charges a $65 fee for a repair plus $35 per hour. Construct a graph to model the total cost.

Be sure to include relevant graph detail: label axes, indicate units on both axes, and use arrows to represent end behavior, as appropriate.

Solve It! Identify the slope of the line.
HINT: The plant grows in height from 20 feet to 30 feet in the first 10 days.

Problem 3 Got It? What is an equation of the line shown in the graph?
HINT: Recall slope-intercept form.