write an equation in slope - intercept form for the line with slope $-\frac{3}{2}$ and $y$-intercept $- 3$.

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: Substitute given values

Given $m=-\frac{3}{2}$ and $b = - 3$, we substitute these values into the formula: $y=-\frac{3}{2}x+( - 3)$.

Step3: Simplify the equation

$y =-\frac{3}{2}x-3$.

Answer:

$y =-\frac{3}{2}x - 3$