Which of the following shows this trapezoid rotated 90°
clockwise around the origin and then translated 3 units
up?

Graph (2) is the answer.

Step-by-step explanation:

Rule to rotate a point (x,y) 90° clockwise about the origin

                    (x,y) ⇒ (y,-x)

Then translated 3 units up

                   (y,-x) ⇒ (y,-x + 3)

So rule is (x,y) ⇒ (y, -x+3)

Now we take all the points of the trapezoid

(0, -1) ⇒ (-1, 3)

(1.5, -2.5) ⇒ (-2.5, 1.5)

(1.5, -3.5) ⇒ (-3.5, 1.5)

(0, -3.5) ⇒ (-3.5, 3)

These coordinates match with the points in figure (2)

Therefore, Graph (2) is the answer.

y = 5x + 17

step-by-step explanation:

a perpendicular line will be the opposite reciprocal slope of the given equation.   the slope given is -1/5 so the opposite reciprocal is 5

find b:

7 = 5 (-2) + b

7 = -10 + b

17 = b

write equation

y = 5x + 17