Answer:
Step-by-step explanation
Perpendicular lines have slopes that are negative reciprocals of one another.
so, in this case, the given slope is 2.
The negative reciprocal of that would be -1/2.
so far, our equation looks like: y=-1/2x+b
now, take the point given to us, (-4,2) and plug it into the y and x values.
2= -1/2(-4) +b
2= b+2
b=0
Our y intercept is zero, so our final answer will be:
[tex]y=-\frac{1}{2} x[/tex]
