MRY Ch 2.1 Slope Intercept Form (40pts)

Instrukcije

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

1

What is the slope of the graph of the equation?

5

-5

4/5

1

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)

1

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.

1

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.

2

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

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

Slope
y-intercept

1

Problem 2 Got It?

A

B

C

D

A.CED.2

1

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

1

A.CED.2

F.LE.2

1

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

2

-1/2

1/2

-2

1

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

3/8

8/3

3/4

4

1

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

-2/3

5

1/3

-2

2

Problem 4 Got It?

A

B

C

D

A.CED.2

F.LE.2

3

Graph the equation: y = 2x +2

Instrukcije

Kliknite na karticu Grafikon (Grafikon 1, Grafikon 2 i tako dalje) za svaki grafikon koji trebate nacrtati.
Kliknite na pozadinu grafikona da biste dodali tačku. Dodajte dvije tačke da biste kreirali grafikon. Prevucite tačku ili unesite x i y koordinate da biste uredili njen položaj. Kliknite na tačku da biste je izbrisali.
Nakon što kreirate grafikon, možete označiti kućicu s isprekidanom linijom.

3

Graph the equation:

Instrukcije

Kliknite na karticu Grafikon (Grafikon 1, Grafikon 2 i tako dalje) za svaki grafikon koji trebate nacrtati.
Kliknite na pozadinu grafikona da biste dodali tačku. Dodajte dvije tačke da biste kreirali grafikon. Prevucite tačku ili unesite x i y koordinate da biste uredili njen položaj. Kliknite na tačku da biste je izbrisali.
Nakon što kreirate grafikon, možete označiti kućicu s isprekidanom linijom.

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

MRY Ch 2.1 Slope Intercept Form (40pts)

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 2 Got It?

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)

Problem 4 Got It?

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 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 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.

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)

Problem 4 Got It?

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?

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 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? 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 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.

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.