Answer:
a) y = 2x + 12. b) y = -1/2 x -1/2.
Explanation:
a) parallel to will have same gradient, ie gradient of 2.
y - y1 = m(x - x1)
y1 is y-coordinate of point, x1 is x-coordinate of point, m is gradient.
y - 2 = 2(x - -5) = 2 (x + 5) = 2x + 10
y = 2x +10 + 2
y = 2x + 12
b) gradient of perpendicular = -1/m = -1/2.
y - 2 = -1/2 (x - -5) = -1/2 (x + 5) = -1/2 x - 5/2
y = -1/2x -5/2 + 2
y = -1/2 x -1/2