Question

find the y-intercept and the slope of the line.

$y = -\frac{1}{2} - \frac{3}{2}x$

y-intercept:

slope:

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: Rewrite the given equation

Rewrite the equation $y=-\frac{1}{2}-\frac{3}{2}x$ in the form $y = mx + b$. We can rewrite it as $y=-\frac{3}{2}x-\frac{1}{2}$.

Step3: Identify the slope and y - intercept

By comparing $y =-\frac{3}{2}x-\frac{1}{2}$ with $y=mx + b$, we see that the slope $m =-\frac{3}{2}$ and the $y$-intercept $b=-\frac{1}{2}$.

Answer:

$y$-intercept: $-\frac{1}{2}$; slope: $-\frac{3}{2}$