Question

PLEASE ANSWER ASAP THXXX!!!!!!!

the graph shows the solution to which system of equations
A) y=x+2 and y= -x - 4
B) y= -3x +7 and y= x+12
C) y=2x - 3 and y= -2x + 1
D) y= -x + 4 and y = -2x +5

Answer 1

9514 1404 393

Answer:

C) y=2x - 3 and y= -2x + 1

Explanation:

Sometimes a simple check can find the right answer with almost no work.

The y-intercepts of the lines are +1 (green line) and -3 (red line). The only offered choice with those y-intercepts is choice C.

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The slope-intercept form of the equation of a line is ...

y = mx + b

where m is the slope, and b is the y-intercept (where the line crosses the y-axis).

All of the answer choices have the equations written in this form. All have different y-intercepts, so the correct pair is not hard to find.