Question 303248
That line has a slope of 2. A line perpendicular to it will have a slope that is the negative reciprocal of 2:


m = -1/2


Now use this slope in the equation of a line, y=mx+b. We know x and y because it tells us the line passes through the point (-2,2)


y=mx+b
2=(-1/2)(-2) + b
2=(-2/-2) + b
2=1+b
1=b


So m = -1/2 and b=1. The equation of the line that is perpendicular to y=2x-3 is:


y=(-1/2)x + 1