Which of these points lies on the line discribed by the equation below? y-4= -2(x-6) A. (-6,-4)
B. (-4,-6)
C. (6,4)
D. (4,6)

C, (6,4)

Step-by-step explanation:

The points (x,y) that lie on the line must fit into the equation correctly. So, we can test out the 4 options to see whether they fit correctly into the equation.

A:

y-4

= -4 -4 = -8

-2(x-6)

= -2 (-6-6)

= 24

Since -8≠24, so A is incorrect.

B:

y -4 = -6-4 = -10

-2(x-6) = -2 (-4-6) = 20

-10≠20, so B is incorrect.

C:

y-4 = 4 -4 = 0

-2(x-6) = -2(6-6) = 0

Both sides are equal. C is correct.

But lets test D out too.

y-4 = 6-4 = 2

-2(x-6) = -2(4-6) = 4

2≠4, so D is incorrect.