Question

Help needed asap.

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

Answer: Choice C
The pink equation is y = 2x-3
The yellow equation is y = -2x+1

Notice how the pink equation crosses the y axis at (0,-3) or at -3 on the y number line. This tells us that the pink equation has a y intercept of -3. So b = -3
This only happens with the equation y = 2x-3. The other equations do not have a y intercept of -3. So this quickly rules out the other choices leaving C as the only answer.

An alternative is to find two points on the pink line, such as (0,-3) and (1,-1). Then find the slope of the line through those points. You should find the slope to be m = 2. So m = 2 and b = -3 leads to y = 2x-3. Follow similar steps for the yellow line as well.