Slope Test Study Guide

Rise/Run or By - Ay/Bx-Ax

1. What is one of the names of slope or one way we think of slope?

2/1

10. What is the slope of the line?

(0,-3)

11. What is the y-intercept of the line?

y = 1/4x + -3

12. If the y-intercept is (0, -3) and the slope is 1/4 write an equation.

y = 4x + 5 y = 6x + 2 y = 10x + -2 *There are many different correct answers. The slope must be greater than 3.

13. Write an equation of a line that has a slope steeper than 3.

c. y = 3/4x + 4

14. Which line has the steepest slope? a. y = 2/3x - 1 b. y = 1/2x + 2 c. y = 3/4x + 4 d. y = 1/4x - 5

Graph A has a slope of 4/1 = 4. Graph B has a slope of 2/1 = 2. Graph A is steeper because it has a bigger slope.

15. Jamal and Rachel disagree about the following two graphs. Jamal feels that the line in Graph A is steeper, while Rachel feels that the line in Graph B is steeper. Which line is steeper? Justify your reasoning.

slope = -5 y-intercept = (0,3)

16. What are the slope and the y-intercept of the equation? y = -5x + 3

Graph on your own sheet of paper. y-intercept = (0,3) Slope = -1/2

17. Graph the equation. y = -1/2 x + 3

y = -1/2x -2

18. What is the equation for the line graphed below?

Graph on your own sheet of paper. y-intercept = (0,-1) Slope = 3/1

19. Graph each line using the slope and y-intercept. y = 3x - 1

Formula method or triangle method.

2. How do we find slope from a graphed line?

c. y = 5x

20. Which equation represents a direct variation equation? a. y = x^2 b. y = x-2 c. y = 5x d. y = square root of x

Get two ordered pairs then use the formula method.

3. How do we find slope from a table?

The point where the graphed line crosses the y-axis.

4. Explain what a y-intercept is?

y=mx+b

5. What is the slope intercept form of an equation?

m

6. Which letter represents the slope in the slope-intercept form of an equation?

b

7. Which letter represents the y-intercept in the slope intercept form of an equation?

slope = 3/1 y-intercept =(0,-2)

8. Find the slope and y-intercept of the line graphed below.

slope = -2/1 y-intercept = (0,3)

9. Determine the slope and y-intercept of the line represented in the table below. Show your work.