answer
y = [tex]\frac{-1}{2} x + \frac{5}{2}[/tex]
finding slope
a perpendicular line has a slope that is the negative reciprocal of the original graph
since the slope of y is 2, the perpendicular line has a slope of -1/2
values
the equation of a line is y = mx + b
with the point (-3, 4), x = -3 and y = 4
we found the slope to be m = -1/2
plug in values
y = mx + b
4 = (-1/2)(-3) + b
4 = 3/2 + b
b = 4 - 3/2
b = 8/2 - 3/2
b = 5/2
final equation
plug m and b into y = mx + b to get
y = [tex]\frac{-1}{2} x + \frac{5}{2}[/tex]
