Write an equation of the line that passes through (-3,4) and is perpendicular to the line of y=2x-1

answer

y =

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 =