Answer:
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 = [tex]\frac{y_2-y_2}{x_2-x_1} =\frac{13+2}{-4-2} = \frac{15}{-6} = -2.5[/tex]
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
