Answer:
y = - 8
Step-by-step explanation:
The given line passes through (-4, 4) and (4, -2)
The slope of this line will be given by: Change in y ÷ change in x
Slope = = =
The slope of the given line times the slope of the perpendicular line = -1
Let's say the slope of the perpendicular line is p
Then, × p = -1
p = -1 ÷ =
The perpendicular line passes through point (6, 0)
Taking another point (x, y) on the perpendicular line;
=
Cross multiplying this gives the equation of the perpendicular line to be:
y = - 8