Question

the graph of a line has an x - intercept of 8 and a y - intercept of 2. what is the slope (m) of the line? m=

Explanation:

Step1: Identify the intercept points

The x - intercept is 8, so the point is (8,0). The y - intercept is 2, so the point is (0,2).

Step2: Use the slope formula

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Let $(x_1,y_1)=(8,0)$ and $(x_2,y_2)=(0,2)$. Then $m=\frac{2 - 0}{0 - 8}=\frac{2}{-8}=-\frac{1}{4}$.

Answer:

$-\frac{1}{4}$