# How to write the slope intercept form of the equation of the line with m = 3, point (2, 1)?

Jul 6, 2016

The Slope-Intercept equation of the line is $y = 3 x - 5$

#### Explanation:

The slope-intercept form of the equation of a line is $y = m x + b$

where $m =$ slope and $b =$ the y-intercept

In order to determine this we can begin with the point-slope formula which is $\left(y - {y}_{1}\right) = m \left(x - {x}_{1}\right)$

For this situation we are given the slope of $3$ and a point of $\left(2 , 1\right)$

$m = 3$
${x}_{1} = 2$
${y}_{1} = 1$

$\left(y - {y}_{1}\right) = m \left(x - {x}_{1}\right)$

$\left(y - 1\right) = 3 \left(x - 2\right)$

$y - 1 = 3 x - 6$

$y \cancel{- 1} \cancel{+ 1} = 3 x - 6 + 1$

$y = 3 x - 5$