# How do you find the slope and intercept of 6x = 7y + 7?

Aug 9, 2016

slope is $= \frac{6}{7}$
$x$-intercept is $x = \frac{7}{6}$
$y$-intercept is $y = - 1$

#### Explanation:

$y = m x + c$ where $m$ is the slope
In the equation $6 x = 7 y + 7$
or
$7 y = 6 x - 7$
or
$y = \frac{6 x}{7} - \frac{7}{7}$
or
$y = \frac{6 x}{7} - 1$
slope is $= \frac{6}{7}$
$x$-intercept is when $y = 0$
So
$0 = \frac{6 x}{7} - 1$
or
$\frac{6 x}{7} = 1$
or
$x = \frac{7}{6}$
Similarly
$y$-intercept is when $x = 0$
or
$y = \frac{6}{7} \left(0\right) - 1$
or
$y = - 1$