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.

step-by-step explanation:

y = | -2(-2) |     →     y = | 4 |     →     y = 4       ⇒   (-2, 4)

y = | -2(-1) |     →     y = | 2 |     →       y =   2       ⇒   (-1, 2)    

y = | -2(0) |     →     y = | 0 |     →       y = 0         ⇒   (0, 0)

y = | -2(1) |   c →     y = | -2 |     →     y =   2         ⇒   (1, 2)    

y = | -2(2) |     →     y = | - 4 |     →     y =   4         ⇒   (2, 4)  

it would take 7/10 of an hour too fill the pool.

step-by-step explanation: