Answer:
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.
