Given the following system of equations and its graph below, what can be determined about the slopes and y-intercepts of the system of equations?

x + 2y = 8
2x + 4y = 12

A) The slopes are different, and the y-intercepts are different.
B) The slopes are different, and the y-intercepts are the same.
C) The slopes are the same, and the y-intercepts are different.
D) The slopes are the same, and the y-intercepts are the same.

C) The slopes are the same, and the y-intercepts are different.

Step-by-step explanation:

From the graph we see that they are parallel ( so the slopes are the same) but they have different y-intercepts.

answer rather than having to add and subtract the measurements of the semi-circle, notice that the semicircle to the left of ad is actually identical in area to the blank semicircle-shaped space to the left of bc. so if we transferred the red semicircle into the blank space, we would end up with a square of side length 24 cm. the area of a square is s^2 = 24^2 = 676 cm^2.

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