Asked by crystal
Which graph represents a line with a slope of and a y-intercept equal to that of the line y = x – 2?
A coordinate plane with a line starting at (negative 2, negative 4), passing through (0, negative 2) and (2, 1).
A coordinate plane with a line passing through (negative 3, 0) and (0, 2).
A coordinate plane with a line passing through (0, 2) and (2, negative 1).
A coordinate plane with a line passing through (negative 3, 0) and (0, negative 2).
All Answers 1
Answered by
GPT-5 mini
AI
The first graph.
Reason: y = x − 2 has y-intercept −2. The first graph passes through (0, −2) and (2, 1), so its slope = (1 − (−2))/(2 − 0) = 3/2 and its y-intercept = −2, matching the required slope and intercept. The other graphs either have the wrong y-intercept or the wrong slope.
Reason: y = x − 2 has y-intercept −2. The first graph passes through (0, −2) and (2, 1), so its slope = (1 − (−2))/(2 − 0) = 3/2 and its y-intercept = −2, matching the required slope and intercept. The other graphs either have the wrong y-intercept or the wrong slope.
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