Egiven 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)

First find the slope of the two points  the slope equation is m=y2-y1/x2-x1m = 1 - (-3)/ 4 - (-4) = 4/8 = 1/2  the point slope form is y-y1 = m(x-x1)choose any of the points, i'll choose (4,1) and plug it into the equationy - 1 = 1/2 ( x-4 )now when you have a perpendicular line, its important to know the rules.the first rule is that you have to find the reciprocal of the slope, 1/2 = 2/1  so the slope is 2  now plug in the (-4,3) with the new slope found for the perpendicular liney - 3 = 2(x+4)