a line has a slope of 0 and passes through the point (-4, -3). write its equation in slope-intercept form…

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 the slope value

We are given that the slope $m = 0$. So the equation becomes $y=0\times x + b$, which simplifies to $y = b$.

Step3: Find the value of $b$

The line passes through the point $(-4,-3)$. Substitute $x=-4$ and $y = - 3$ into the equation $y = b$. Since for any $x$, $y$ is equal to $b$, when $x=-4$, $y=-3$ implies that $b=-3$.

Answer:

$y=-3$