Answer:
Third choice is the one you want
Step-by-step explanation:
First off, we need to remember that for a line to be perpendicular to another line, its slope is the opposite reciprocal to the other line. The slope of our line is -1/4, so the opposite reciprocal slope is +4/1 or just 4. Now we know that m = 4.
The point-slope form of a line is
[tex]y-y_{1}=m(x-x_{1})[/tex]
where m is the slope, y1 is the y coordinate of the point, and x1 is the x coordinate of the point. Filling in:
[tex]y-5=4(x-(-3))[/tex] which simplifies to
[tex]y-5=4(x+3)[/tex] which simplifies further to
[tex]y-5=4x+12[/tex]
Add 5 to both sides to get the equation into slope-intercept form:
y = 4x + 17
choice 3
