Question

A system of linear equations is shown on a coordinate plane.

x, y,

Which system of equations best represents the system shown on the graph?
A
y = x + 2
y = −4x + 17
B
y = x + 2
y = −4x + 15
C
x + y = 2
4x + y = 17
D
x + y = 2

Answer 1

A.

Reason: The upward line passes through (0,2) and (3,5), so its slope is (5−2)/(3−0)=1 and equation y = x + 2. The downward line passes through (0,17) and (3,5), so its slope is (5−17)/(3−0)=−4 and equation y = −4x + 17. Hence the system is y = x + 2 and y = −4x + 17.