Use the coordinates of the labeled point to find a point-slope equation of the line (4, -2) a. Y-2=-2(x+3) b. Y-2=2(x+4) c. Y+2=-2(x-4) d. Y+2=2(x-4)

d. Y+2=2(x-4)

Step-by-step 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

Step-by-step explanation: