Question

a line has a slope of 0 and a y-intercept of -3. write its equation in slope-intercept form. write your answer using integers, proper fractions, and improper fractions in simplest form.

Explanation:

Step1: Recall slope - intercept form

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

Step2: Substitute the given values

We are given that the slope $m = 0$ and the $y$-intercept $b=-3$. Substituting these values into the slope - intercept form $y=mx + b$, we get $y=(0)x+(-3)$.

Step3: Simplify the equation

Simplifying $y = 0x-3$, we know that $0x = 0$ for any value of $x$, so the equation simplifies to $y=-3$.

Answer:

$y = - 3$