Slope and Graphing

Name:

Date:

📚 Part 1: Multiple Choice

1. Find the slope of the line through (2, 3) and (5, 11).

8/3

4/3

-8/3

3/8

2. Which equation has a slope of -1/2?

y = -1/2 x + 4

y = 2x - 1/2

y = -2x + 1/2

y = 1/2 x - 2

3. Check all that describe a proportional relationship.

The graph is a line through the origin (0,0)

The equation can be written y = mx + b with b = 0

The slope m must be positive

For each x, there is exactly one y (it's a function)

4. The graph passes through (0,0) and (3,6). What is the slope?

1/2

5. Calculate the slope between the points (-2, 4) and (1, -2). Show work.

6. Write the equation in slope-intercept form for a line with slope m = 2 and y-intercept b = -1.

7. Graphing: Sketch the line y = -1/2 x + 3 on the grid below. Start at the y-intercept and use rise/run to plot a second point.

8. Interpretation: A graph shows cost (y in dollars) vs. number of items (x) and has equation y = 1.5x. What does the slope 1.5 represent in context?

9. Match each linear equation (left) with its slope (right). Draw a line to match.

A. y = 3x - 2

B. y = -1/2 x + 4

C. y = 0.5x

D. y = 0x + 5

1. 0

2. 3

3. -1/2

4. 1/2