Question

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?

Answer 1

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 = $\frac{y_2-y_2}{x_2-x_1} =\frac{13+2}{-4-2} = \frac{15}{-6} = -2.5$

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