Question

what is the slope of the line with the equation
$y = -\frac{3}{2}x + 4$
options: -4, $-\frac{3}{2}$, $\frac{3}{2}$, 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 $y = -\frac{3}{2}x + 4$ with $y = mx + b$. The coefficient of $x$ is the slope.

Answer:

B. $-\frac{3}{2}$