Question

He given line passes through the points (−4, −3) and (4, 1).

What is the equation, in point-slope form, of the line that is perpendicular to the given line and passes through the point (−4, 3)?
y − 3 = (x + 4)

Answer 1

The line through the two given points has slope
.. (1 -(-3))/(4 -(-4)) = 4/8 = 1/2

The perpendicular line will have a slope that is the negative reciprocal of that,
.. -1/(1/2) = -2

So, the point-slope equation of your line is
.. y -3 = -2(x +4)