# What is the equation of the line with slope  m=5/5  that passes through  (5,1) ?

Apr 28, 2018

$y = x - 4$

#### Explanation:

$\text{note that } m = \frac{5}{5} = 1$

$\text{the equation of a line in "color(blue)"point-slope form}$ is.

•color(white)(x)y-y_1=m(x-x_1)

$\text{where m is the slope and "(x_1,y_1)" a point on the line}$

$\text{here "m=1" and } \left({x}_{1} , {y}_{1}\right) = \left(5 , 1\right)$

$\Rightarrow y - 1 = x - 5$

$\Rightarrow y = x - 4 \leftarrow \textcolor{red}{\text{equation of line}}$