Question

Find three solutions of the equation

Y = -8x

A) (0,0) (-3,22) (-2,16)

B) (-2,16) (3,-24) (-4,32)

C) (-2,16) (3,-24) (2,-17)

D) (3,-24) (0,0) (-1,9)

Answer 1

y = -8x

First let's start with A.

Insert the first point into the equation.

0 = -8(0)
0 = 0

That one works, so let's continue.

22 = -8(-3)
22 = 24

That doesn't work, so we now know A isn't the answer.

Moving on to B.

16 = -8(-2)
16 = 16

-24 = -8(3)
-24 = -24

32 = -8(-4)
32 = 32

Since all the points in B match up, it could be that, but let's continue.

For C we already know the first 2 points work, so we only need to test out the third one.

-17 = -8(2)
-17 = -16

Now only D is left, and we also know the first two are correct.

9 = -8(-1)
9 = 8


So the answer is B.