Question

find the slope of the line represented by the equation below.
$4 + \frac{3}{2}x = y$

Explanation:

Step1: Recall slope - intercept form

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

Step2: Rewrite the given equation

The given equation is $4+\frac{3}{2}x=y$, which can be rewritten as $y=\frac{3}{2}x + 4$.
By comparing this equation with the slope - intercept form $y=mx + b$, we can see that $m=\frac{3}{2}$.

Answer:

$\frac{3}{2}$