Question

1. what is the slope of the line given the equation $y = -\frac{3}{4}x + 10$?

a. -10
b. 10
c. $-\frac{3}{4}$
d. $\frac{3}{4}$

Explanation:

Step1: Recall slope-intercept form

The slope-intercept form of a line is $y = mx + b$, where $m$ is the slope, and $b$ is the y-intercept.

Step2: Match given equation to form

Compare $y = -\frac{3}{4}x + 10$ with $y = mx + b$. Here, $m = -\frac{3}{4}$.

Answer:

c. $-\frac{3}{4}$