The point (2,-2) and (-4,13) on the graph of a linear function of x. which point also lies on the graph of this function? a. (-6,18) b. (-1,5) c. (7,14.5) d. (13, -4)

A. (-6,18)

Step-by-step explanation:

The point (2,-2) and (-4,13) on the graph

First we frame an equation of the line using two points

y = mx + b where m is the slope and b is y intercept

slope =

m = -2.5

Lets find out b

y = mx+b

y= -2.5x + b

Plug in (2,-2) and find out b

-2 = -2.5(2) + b

-2 = -5 + b (add 5 on both sides)

b = 3

so equation of line is y = -2.5 x + 3

Now we check with each option

(-6,18)

Plug in the x  and y in our equation and check it

y = -2.5 x + 3

18 = -2.5(-6) + 3

18 = 15+3

18=18  true

So (-6,18) lies on the graph