Question

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

Answer 1

X - intercept is `-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=mx+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:
`6x-y=-7`
`-y=-6x-7`
`y=6x+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=6x+7`
`-7=6x`
`-7/6=x`
Therefore #-7/6 is the X intercept.