Answer:
d. Y+2=2(x-4)
Explanation:
we have one point
(4, -2)
and 4 equations
a. Y-2=-2(x+3)
b. Y-2=2(x+4)
c. Y+2=-2(x-4)
d. Y+2=2(x-4)
we have to replace the x with 4 and the y with -2
and in the equation that equality is fulfilled is a correct option
a.
Y-2=-2(x+3)
(-2)-2=-2((4)+3)
-4=-2(7)
-4 = -14
Wrong
b.
Y-2=2(x+4)
-2-2=2((4)+4)
-4=2(8)
-4 = 16
Wrong
c.
Y+2=-2(x-4)
(-2)+2=-2((4)-4)
-4 = -2(0)
-4 = 0
Wrong
d.
Y+2=2(x-4)
(-2)+2 = 2((4)-4)
0 = 2(0)
0 = 0
Correct