Question

LESSON 3.2 (C) - Rates of Change and Slope

Directions: Find the slope of the line each each graph. Leave the slope as a fraction instead of converting
them to decimals.
1)
2)
Slope =
Slope =

Answer 1

1. Slope = -2

2. Slope = ⁴/3

3. Slope = -3

4. Slope = 1

Explanation:

1. Using two points on the line, (0, 0) and (-1, 2):

`slope = (y_2 - y_1)/(x_2 - x1) = (2 - 0)/(-1 - 0) = (2)/(-1) = -2`

2. Using two points on the line, (0, 0) and (3, 4):

`slope = (y_2 - y_1)/(x_2 - x1) = (4 - 0)/(3 - 0) = (4)/(3)`

3. Using two points on the line, (0, 0) and (-1, 3):

`slope = (y_2 - y_1)/(x_2 - x1) = (3 - 0)/(-1 - 0) = (3)/(-1) = -3`

4. Using two points on the line, (0, 0) and (2, 2):

`slope = (y_2 - y_1)/(x_2 - x1) = (2 - 0)/(2 - 0) = (2)/(2) = 1`