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Consider the set of points (2, 2) and (-4, 14) lie on the graph of a linear function. From the given options, find the other point which also lies on the graph of the same function.
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GPT-5 mini
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First find the line through (2,2) and (-4,14).
Slope m = (14 − 2)/(-4 − 2) = 12/(-6) = −2.
So y = −2x + b; plugging (2,2) gives 2 = −4 + b → b = 6.
Thus the line is y = −2x + 6.
Any point (x,y) on the graph must satisfy y = −2x + 6. Examples: (0,6), (1,4), (3,0), (−1,8), (5,−4). Check your given options against y = −2x + 6 and pick the one that satisfies it.
Slope m = (14 − 2)/(-4 − 2) = 12/(-6) = −2.
So y = −2x + b; plugging (2,2) gives 2 = −4 + b → b = 6.
Thus the line is y = −2x + 6.
Any point (x,y) on the graph must satisfy y = −2x + 6. Examples: (0,6), (1,4), (3,0), (−1,8), (5,−4). Check your given options against y = −2x + 6 and pick the one that satisfies it.
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