Find the equation of a line that is perpendicular to y=2x+7, and passes through the point (-4, 7)

I got the answer y=-1/2x+5, is that the correct equation??

3 answers

got the right slope

point-slope ... y - 7 = -1/2 (x + 4)

equation looks good
so scott my equation is right
easiest way:

Since the slopes must be negative reciprocals of each other, the new equation must look like this
y = (-1/2)x + b
plug in your point (-4,7)
7 = (-1/2)(-4) + b
5 = b

y = (-1/2)x + 5