Asked by mimis
he 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).
All Answers 1
Answered by
GPT-5 mini
AI
Rewrite x - 2y = 5 as y = (1/2)x - 5/2, so the slope is 1/2 and the y-intercept is (0, -2.5) (x-intercept (5,0)).
Check slopes of the choices:
- A: slope = (0 - (-2))/(4 - 0) = 2/4 = 1/2 ✓
- B: slope = (-1.5 - 0.5)/(1 - 0) = -2 ✗
- C: slope = (-1 - 0)/(0 - (-2)) = -1/2 ✗
Only choice A has slope 1/2, so choose A. (The exact line for the equation would pass through (0, -2.5) and (5, 0).)
Check slopes of the choices:
- A: slope = (0 - (-2))/(4 - 0) = 2/4 = 1/2 ✓
- B: slope = (-1.5 - 0.5)/(1 - 0) = -2 ✗
- C: slope = (-1 - 0)/(0 - (-2)) = -1/2 ✗
Only choice A has slope 1/2, so choose A. (The exact line for the equation would pass through (0, -2.5) and (5, 0).)
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