Question

a line has a slope of 0 and passes through the point (6, -6). 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 $y = mx + b$, where $m$ is the slope and $b$ is the y - intercept.
We know that the slope $m = 0$. So the equation becomes $y=0\times x + b$, which simplifies to $y = b$.

Step2: Find the value of $b$

The line passes through the point $(6,-6)$. Substitute $x = 6$ and $y=-6$ into the equation $y = b$.
Since for any $x$, $y$ is always equal to $b$, when $x = 6$, $y=-6$ implies that $b=-6$.

Answer:

$y=-6$