Answer:
Step-by-step explanation:
a). By the rotation of 90° clockwise around the origin image ΔE'F'G' will be in 2nd quadrant while Destiny has plotted in fourth quadrant.
b). Rule to find the coordinates of the image will be,
(x, y) → (y, -x)
E(-5, -1) → E'(-1, 5)
F(-2, -3) → F'(-3, 2)
G(-4, -4) → G'(-4, 4)
c). Now we can plot these points on the graph as shown in the attached picture.
make y the subject
y= 5x + 3
perpendicular line needs the reciprocal of the gradient
y = 1/5x + c
substitute in the point
1 = 1/5(5) + c
5/5 = 1 so the answer is y = 1/5x
hope this is helpful!