Question

How do you find the slope and intercept for `8x-2y=14`?

Answer 1

Slope `m=4`
y-intercept `-7`
x-intercept `7/4`

Explanation:

Given -

`8x-2y=14`

It is in the form

`ax+by=c`

If a linear equation is in this form, then -

It slope is `(-a)/b`

In our case, we shall use this formula

`m=(-8)/(-2)=4`

To find the y-intercept put `x=0`

`8(0)-2y=14`
`-2y=14`
`y=14/(-2)=-7`

To find the x-intercept put `y=0`

`8x-2(0)=14`
`8x=14`
`x=14/8=7/4`