Question

How do you find the slope and y intercept for: `6x - 3y=18`?

Answer 1

Slope: `2`
y-intercept: `-6`

Explanation:

Method 1
For a linear equation in the standard form `Ax+By=C`
the slope is `m=-A/B`
In this case
`color(white)("XXX")m=-6/(-3) =2`

The y-intercept is the value of `y` when `x=0`
`color(white)("XXX")6(0)-3y=18`
`color(white)("XXX")rarr y=-6`

Method 2
Convert `6x-3y=18` into slope-intercept form: `y=color(red)(m)x+color(blue)(b)`
`color(white)("XXX")6x-3y=18`

`color(white)("XXX")rarr-3y=-6x+18`

`color(white)("XXX")rarr y=color(red)(2)x+color(blue)((-6))`