Question

Which of the following are equations for the line shown below? Check all that

apply.
(-3,-5)
(3,-2)

A. Y+2=0.5(x-3)
B. Y-5=0.5(x-3)
C. Y+5=0.5(x+3)
D. Y=0.5x-3.5

Answer 1

Both C and D are equations for the two given points.

Explanation:

A. Y+2=0.5(x-3) NO

(-3,-5): -5+2 = 0.5(-3-3); -3 = 0.5(-6); -3 = -3 YES

(3,2): 2+2 = 0.5(3-3): 4 = 0.5(0); 4 = 0 NO

B. Y-5=0.5(x-3) NO

(-3,-5): -5-5=0.5(-3-3); -10 = -3 NO

(3,-2): -2-5=0.5(3-3); -7 = 0 NO

C. Y+5=0.5(x+3) YES

(-3,-5): -5+5=0.5(-3+3); 0 = 0 YES

(3,-2): -2+5=0.5(3+3); 3 = 3 YES

D. Y=0.5x-3.5 YES

(-3,-5): -5 = 0.5(-3)-3.5; -5 = -5 YES

(3,-2): -2 = 0.5(3)-3.5; -2 = 1.5 - 3.5 YES