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Problem:Write an equation of the line that passes through the given point and has the given slope

Problem:Write an equation of the line that passes through the given point and has-example-1
User Katze
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1 Answer

16 votes
16 votes

We have a line that passes through the point P:

P = (2, -1)

And that has a slope m = 5. Using the point-slope form of the linear equation:

(y - y0) = m*(x - x0) ...(1)

Where x0 and y0 are the coordinates of any point contained in the line. In particular, if the point is P:

x0 = 2

y0 = -1

Then, replacing these values on (1):

(y - (-1) = 5*(x - 2)

y + 1 = 5x - 10

Finally:

y = 5x - 11

User Kittenchief
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