Question

Which system of equations can be used to solve for the point of intersection of the lines on the graph? A) y = x - 7; y = 2x + 2 B) y = 2x + 7; y = 2x - 2 C) y = 2x + 7; y = 2x + 2 D) y = 2x - 7; y = 2x + 2

Answer 1

D

Explanation:

Answer 2

C) y = 2x + 7; y = 2x + 2

Explanation:

The two lines are parallel and so will have the same slope.

From the graph, the slope of both lines are two.

Using slope intercept formula, y=mx+c, with m=2, we have y=2x+c

The blue line has a y-intercept of 2 so the equation is

`y = 2x + 2`

The red line has a y-intercept of -7 so the equation is

`y = 2x - 7`

Hence the system is

y=2x+2

y=2x-7

The correct answer is C