Answer:
y= -1/4x+3/4
Explanation:
You are given (-5,2) and x=4
This means that the slope is 4
When finding perpendicular, the slope is the reverse reciprocal of the original slope. The reverse of 4 is -4. The recirprocal is the opposite of -4/1, so it is -1/4.
Slope= -1/4
The slope-intercept form is y=mx+b where you are trying to find b.
Plug in the y value in (-5,2) for y
Plug in the slope for m
Plug in the x value in (-5,2) for x
y=2
m= -1/4
x= -5
y=mx+b
2= -1/4(-5)+b Plug in everything
2= 5/4+b Multiply -1/4 and -5
3/4=b Subtract 5/4 from 2 and you get b
Since we have b now we can make an equation using it.
y=mx+b Use the form
y= -1/4x+3/4 Plug in m and b