Question

pick two points on the line and determine the slope.
6.) m = ____
7.) m = ____

Explanation:

Step1: Analyze Problem 6

First, identify two points on the line for problem 6. Let's take (7, 0) and (4, 9) (from the graph). The slope formula is \( m=\frac{y_2 - y_1}{x_2 - x_1} \).
Substitute \( (x_1,y_1)=(7,0) \) and \( (x_2,y_2)=(4,9) \): \( m=\frac{9 - 0}{4 - 7}=\frac{9}{-3}=-3 \).

Step2: Analyze Problem 7

For problem 7, take two points like (0, 0) and (5, 4) (from the graph). Use the slope formula \( m=\frac{y_2 - y_1}{x_2 - x_1} \).
Substitute \( (x_1,y_1)=(0,0) \) and \( (x_2,y_2)=(5,4) \): \( m=\frac{4 - 0}{5 - 0}=\frac{4}{5} \).

Answer:

6.) \( m = -3 \)
7.) \( m = \frac{4}{5} \)