How do you write an equation in point slope form given slope of 2 and contains the point (3,7)?

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Answer 1 · 2017-05-20T06:32:34

$y=2x+1$ using the point-slope formula

First, we write the point-slope formula, which is:

$y-y_"1" = m(x-x_"1")$

Now, we plug in the numbers, using 2 as $m$ (slope), 3 for $x_"1"$ (given x value), and 7 for $y_"1"$ (given y value), then simplify.

$y-y_"1" = m(x-x_"1")$
=> $y-7 = 2(x-3)$
=> $y-7 = 2x-6$
=> $y=2x+1$