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

May 20, 2017

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

#### Explanation:

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 ${x}_{\text{1}}$(given x value), and 7 for ${y}_{\text{1}}$ (given y value), then simplify.

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