Question

What is an equation of the line that is perpendicular to y + 1 = - 3 (x - 5) and passes through the point (4, -6)?

Answer 1

Y=1/3x - 6
Perpendicular means that the slope must be inverse. In your problem the slope is -3/1
So the inverse is 1/3

Answer 2

Y + 6 = 1/3 (x - 4)

Replace the second y (y1) and the 2nd x (x1) with the new points and then -3 become 1/3 due to perpendicular meaning opposite reciprocal (2/3 reciprocal is 3/2 and the opposite would be its negative, -3/2, for example)

So there's your answer plus some info for future knowlege