Question

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

a. $\frac{3}{4}$

b. 10

c. -10

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

Explanation:

Step1: Recall slope-intercept form

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

Step2: Identify $m$ in the given equation

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

Answer:

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