Question

The graph of the equation x – 2y = 5 has an x-intercept of 5 and a slope of StartFraction one-half EndFraction. Which shows the graph of this equation?

A coordinate plane with a line passing through (0, negative 2) and (4, 0).

A coordinate plane with a line passing through (0, 0.5) and (1, negative 1.5).

A coordinate plane with a line passing through (negative 2, 0) and (0, negative 1).

A coordinate plane with a line passing through (negative 3, negative 4) and (5, 0).

Answer 1

D

Reason: x - 2y = 5 rewrites y = (1/2)x - 5/2, so slope = 1/2 and x-intercept = 5. The line through (-3, -4) and (5, 0) has slope (0 - (-4))/(5 - (-3)) = 4/8 = 1/2 and x-intercept 5, so it matches.