The 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)

First find the equation of the given line. Let y=mx+b. 1=4m+b;-3=-4m+b. Solving, and get b=-1, m=1/2. So the line that is perpendicular to it must have slope -1/m=-2. Suppose the form is y=-2x+b, since it passes through (-4,3), the point slope form is y-3=-2(x+4).