Question

PLEASE HELP I NEED HELP ASAP

Answer 1

Answer:

$y=-x+15$

Step-by-step explanation:

Slope-intercept form is written as $y=mx+b$ where $m$ is the slope and $b$ is the y-intercept.

Any line perpendicular to a given line with slope $m$ has a slope of $-\frac{1}{m}$. Therefore, the slope of a line perpendicular to $y=x+12$ is $-\frac{1}{1}=-1$.

We can now plug the coordinate it passes through into our slope-intercept form equation to solve for the y-intercept:

$3=-1(12)+b,\\b=15$

Therefore, the equation of the line that is perpendicular to $y=x+12$ and passes through the coordinates $(12,3)$ is $\fbox{ y=-x+15 }$.