What is the equation for a line that passes through the points (-5,-4) and (10,17)?

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22-03-2018
Mathematics

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What is the equation for a line that passes through the points (-5,-4) and (10,17)?

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Аноним Аноним · Answer 1 · 2018-03-22T08:29:04+01:00

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Find Slope
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Slope = (17 - (-4) ) / (10 - (-4) )
Slope = 21/14
Slope = 3/2

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Insert slope into the general equation
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y = mx + c
y = 3/2 x + c

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Find y-intercept
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at point (10, 17)
17 = 3/2 (10) + c
17 = 15 + c
c = 17 - 15
c = 2

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Insert y-intercept into the equation y = 3/2 (x) + c
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y = 3/2 x + 2

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Answer: y = 3/2 x + 2
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