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

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

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Answer 1 · 2016-08-09T19:41:00

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

Explanation:

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

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

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Explanation:

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