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MRY Ch 2.1 Slope Intercept Form (40pts)

Last updated about 2 years ago
27 questions
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

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.

1

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

1

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

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

1

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

1

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?

1

What is the slope of the graph of the equation?

1

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

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?

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?

2

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

  • -\frac{1}{2}
  • 2/3
  • 1/2
  • -\frac{2}{3}
  • Slope
  • y-intercept
1

Problem 2 Got It?

1

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

1

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

1

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

1

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

1

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

1

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

1

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

1

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

2

Problem 4 Got It?

3

Graph the equation: y = 2x +2

  • Click the graph tab.
  • 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.
3

Graph the equation:

  • Click the graph tab.
  • 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.
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.

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.

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.