Question

What is the solution to the system that is created by the equation y = 2 x + 10 and the graph shown below? On a coordinate plane, a line goes through (negative 2, 0) and (0, 2). (–8, –6) (–4, –2) (0, 2) (2, 4)

Answer 1

(-8,-6)

Explanation:

Got it right on edge soooo <3

Answer 2

(–8, –6)

Explanation:

The given points represent the x- and y- intercepts of the line, so we can write the equation in intercept form as ...

x/(x-intercept) +y/(y-intercept) = 1

x/(-2) +y/2 = 1 . . . use the given intercepts

x - y = -2 . . . . . multiply by -2

Then the system is ...

• y = 2x +10
• x - y = -2

Using the first to substitute into the second, we get ...

x - (2x +10) = -2

-8 = x . . . . . . . . . . . add x+2, simplify

y = 2(-8) +10 = -6

The solution is (x, y) = (-8, -6).