# How do you write an equation with slope = 3; (1, 5)?

Jul 15, 2016

$y = 3 x + 2$

#### Explanation:

There is a nifty formula for the equation of a line which applies in just such a case where we are given the slope and one point.

$y - {y}_{1} = m \left(x - {x}_{1}\right) \text{ m = slope and "(x_1,y_1)" is a point}$

$y - 5 = 3 \left(x - 1\right)$

$\text{ "y = 3x -3 +5 " this simplifies to give the equation:}$

$y = 3 x + 2$