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LekaFEV [45]
2 years ago
11

Find the equation of a line with a slope of 13/2 that passes through the point (−2, — 10).

Mathematics
1 answer:
Darya [45]2 years ago
3 0

Answer:  y=\frac{13}{2} x+3

Step-by-step explanation:

Remember the point-slope equation which is y-y_{1} = m(x-x_{1} )  where(x_{1} , y_{1} ) is your <u>point</u> and m is your <u>slope.</u>

<u />

Given that we substitute what you have:

y-(-10) =\frac{13}{2} (x - (-2))

Minus and minus give us positive:

y+10 =\frac{13}{2} (x +2)

Multiply slope into the parenthesis:

y+10= \frac{13}{2}x + \frac{13}{2}*2\\

Calculate it:

y+10= \frac{13}{2}x +13

Isolate the y by subtracting 10 from both sides:

y=\frac{13}{2} x + 13 -10

Your final equation is:

y=\frac{13}{2} x +3

Hope this makes sense!

And here's the graph to prove that the line actually goes through the point (-2,-10):

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