How do you find the x and y intercepts of 6x-y=-7?

Aug 28, 2016

X - intercept is $- \frac{7}{6}$
Y - intercept is $7$

Explanation:

The quickest way to find the x and y intercepts for this equation is to rearrange the equation into slope-intercept form before substituting y as 0.

Slope intercept form is the equation $y = m x + b$. This equation is the most basic (and in my opinion) the most important graphing equation. $y$ and $x$ are the x and y coordinate points, $m$ is the slope if the line, and $b$ is the y-intercept.

To rearrange this equation:
$6 x - y = - 7$
$- y = - 6 x - 7$
$y = 6 x + 7$
As you can see, 7 is in the place of $b$ therefore making it the y intercept.

Next we input y as 0 because if it is an x intercept then it wont move vertically.
$0 = 6 x + 7$
$- 7 = 6 x$
$- \frac{7}{6} = x$
Therefore #-7/6 is the X intercept.