# What is the equation of the line with slope  m= 8/7  that passes through  (9,4) ?

Aug 28, 2016

$y = \frac{8}{7} x - 6 \frac{2}{7}$

#### Explanation:

We have been given the slope, $m$ and one point, $\left({x}_{1.} {y}_{1}\right)$

There is a nifty formula which is based on the formula for slope.

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

$y - 4 = \frac{8}{7} \left(x - 9\right)$

$y = \frac{8}{7} x - \frac{72}{7} + 4 \textcolor{w h i t e}{\ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots . .} - \frac{72}{7} = - 10 \frac{2}{7}$

$y = \frac{8}{7} x - 6 \frac{2}{7}$