Question

Select the correct answer.
Which system of equations is satisfied by the solution shown in the graph?

A coordinate plane linear graph on inequalities in which a line intersects Y-axis at 6 and another line intersects y-axis at 10. Both lines intersect X-axis at minus 2 and Y-axis at 8.

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

Answer 1

D

Reason: The two lines pass through (-2, 8) and the y-intercepts (0,6) and (0,10).
Line through (-2,8) and (0,6): slope = (6−8)/(0−(−2)) = −1, so y = −x + 6 → x + y = 6.
Line through (-2,8) and (0,10): slope = (10−8)/(0−(−2)) = 1, so y = x + 10 → x − y = −10.