Which system of equations is satisfied by the solution shown in the graph? a. x + 2y = 6 and x − y = 10 b. x + y = 6 and x − 2y = 10 c. x + 2y = 10 and x − y = 6 d. x + y = 6 and x − y = -10

In order to find correct system for the given graph, we need to find the slopes and y-intercepts of the lines in shown graph.

For red line we have y-intercept = 10 because it is cutting y-axis at 10.

And slope of the red line is rise/run = 1/1 that is 1.

Using slope-intercept form y=mx+b

The equation of red line is y=1x +10 or x-y =-10.

For black line we have y-intercept = 6 and slope is rise/run = -1/1 = -1.

The equation of black line is y = -1x + 6  or x+y=6.

answer: a and c are correct

step-by-step explanation:

the +5 is the vertical translation

the added negative symbol in front is the reflection over the y-axis

d

step-by-step explanation: