# What is the equation of the line with slope  m= 5/17  that passes through  (39,23) ?

Mar 29, 2018

$\textcolor{b l u e}{y = \frac{5}{17} + \frac{196}{17}}$

#### Explanation:

The slope intercept form of a line is given by:

$y = m x + b$

Where $m$ is slope/gradient and $b$ is the y axis intercept.

We know $m$ this is $\frac{5}{17}$ and we have a point on the line $\left(39 , 23\right)$
$\therefore$

$23 = \frac{5}{17} \left(39\right) + b$

Multiply through by 17:

$391 = 5 \left(39\right) + 17 b$

$391 = 195 + 17 b$

Subtract 195:

$196 = 17 b$

Divide by 17:

$b = \frac{196}{17}$

So equation is:

$\textcolor{b l u e}{y = \frac{5}{17} + \frac{196}{17}}$