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

Step2: Identify slope from the equation

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

Answer:

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