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The graph of a certain linear function passes through point (1,1) with a slope of 5. Which set of ordered pairs will be on that line? A : (2,6) and (4,14) B : (16,4) and (36,8) …
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The graph of a certain linear function passes through point (1,1) with a slope of 5. Which set of ordered pairs will be on that line? A : (2,6) and (4,14) B : (16,4) and (36,8) …
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Jun 28, 2017
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The graph of a certain linear function passes through point (1,1) with a slope of 5. Which set of ordered pairs will be on that line?
A : (2,6) and (4,14)
B : (16,4) and (36,8)
C : (4,16) and (8,36)
D : (4,20) and (8,40)
Mathematics
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Steadweb
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To know if the given ordered pairs in the choices exist on the line, first, we must obtain the standard equation of the line using the point-slope formula. Afterwards, we substitute the given ordered pairs and see if they equate to each other. This is shown below:
y - 1 = 5(x - 1)
y - 1 = 5x - 5
y = 5x - 4
Testing C: (4,16) and (8,36)
16 = 5(4) - 4
16 = 16 || OK
36 = 5(8) - 4
36 = 36 || OK
Therefore, the correct answer is C.
Steve Lloyd
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Jul 4, 2017
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