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

Question

2 years ago

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B) y = 2x + 7; y = 2x - 2 C) y = 2x + 7; y = 2x + 2 D) y = 2x - 7; y = 2x + 2

1 answer:

ratelena [41] · Answer 1 · 2022-05-19T03:23:47+03:00

Answer:

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

Step-by-step 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