Which statement best describes the graph of 2x−5y=−252x-5y=-25 and the graph of y=52x+5y=52x+5?

To easily compare the two linear equations just by looking at the equation, let's rearrange this into the slope-intercept formula: y = mx + b, where m is the slope and b is the y-intercept.

2x - 5y = -25
(-5y = -25x - 2x)-1
5y = 25/5 +2x/5
y = (2/5)x + 5
Thus, the slope is 2/5 and the y-intercept is 5.

y=52x + 5
The slope is 52 and the y-intercept is 5.

Thus, we can say that the two linear equations have the same y-intercept. This is the point in the y=-axis in which the two lines intersect. They must intersect at (0,5).