A parallel line will have the same slope. y = mx + b slope(m) = -2 (0,-2)....x = 0 and y = -2 now we sub and solve for b, the y int -2 = -2(0) + b -2 = b so ur parallel equation is : y = -2x - 2 <== ================= so our original equation has a slope of -2 A perpendicular line will have a negative reciprocal slope. To find the negative reciprocal, we " flip " the slope and change the sign....-2 (or -2/1).....flip the slope and it becomes -1/2.....change the sign...and it becomes 1/2. So our perpendicular line will have a slope of 1/2.
y = mx + b slope(m) = 1/2 (0,-2)...x = 0 and y = -2 now we sub and find b, the y int -2 = 1/2(0) + b -2 = b so ur perpendicular equation is y = 1/2x - 2 <==