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 =

option a.

step-by-step explanation:

if you look closely at the graph, we can notice that the function is not defined at two different points.

if you look at functions b and c, you will notice that both functions are not defined at just one point. the function b is not defined at x= -5/2 and function c is not defined at x=-5. both options are discarded, given that our function should not be defined at two fiferent points.

now, if you look closely at the graph you will notice that the function sketched is not defined at x=5 and x=-2.

109 is the nearest whole number/final answer! : )