Answer:
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Step-by-step explanation:
First of a line perpendicular to another line has the inverse opposite slope
if m is the slope m of line 1 the perpendicular line slope is -1/m
y - 3 = -4(x + 2) equarion 1
y - 3 = -4x - 8 -4 × (x+2)
y = -4x - 5 added 3 to both sides to get the y intercept form y=mx+b
the slope of the perpendicular line will be 1/4
using the point slope method
y - y1 = m(x -x1)
the gives the (x,y) point of the perpendicular as (-5, 7)
x1 = -5
y1 = 7
y - 7 = 1/4(x - (-5))
y - 7 = 1/4(x +5) <-------------- Answer
the attached graph shows the line and the perpendicular going through point (-5, 7)
