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emmainna [20.7K]
3 years ago
12

Identify and equation in point-slope form for the line parallel parallel to y=-2/3×+8 that passes through 4,-5

Mathematics
1 answer:
GrogVix [38]3 years ago
4 0
Parallel= same slope
Point slope: y - y1 = m(x - x1)
y + 5 = -2/3( x - 4)
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Write an equation of the line that passes through (18,2) and is parallel to the line 3y-x=-12 .
uysha [10]

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y = \frac{1}{3}x-4

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<u>Step 1:  Solve for y in the first equation</u>

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y = \frac{1}{3}x - 4

<u>Step 2:  Determine the important aspects</u>

We know that our line is parallel to the other line that has a slope of 1/3 which means that our slope is also going to be 1/3.  We also know that our line crosses the point (18, 2) which means that we can use the point slope form to determine our equation

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(y-2) = \frac{1}{3}(x - 18)

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Answer: y = \frac{1}{3}x-4

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