Question

Which equations are equations for the line shown? Choose all answers that are correct. A. y+3=-2(x -2) B. y+2=2(x -5) C. y-5=-2(x+2) D. y-2=-2(x+3) I think C is one of the correct answers, but I'm not sure about the others

Answer 1

(-2,5) and (2,-3) are on this line

Answer 2

so (x,y) = (-2,5) and (x,y) = (2,-3) should BOTH make the equation true

Answer 3

let's test choice C

Answer 4

testing (-2,5)

y-5=-2(x+2)

5-5=-2(-2+2) ... plug in (x,y) = (-2,5)

0 = -2(0)

0 = 0 ... so that works for (-2,5)

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testing (2,-3)

y-5=-2(x+2)

-3-5=-2(2+2) ... plug in (x,y) = (2,-3)

-8 = -2(4)

-8 = -8 ... that works as well

Answer 5

so that confirms choice C is one of the answers

Answer 6

I'll let you check the others