Question

What is the equation of the line with slope `m= 12/11` that passes through `(-2,11)`?

Answer 1

`y=12/11x+145/11`

Explanation:

The equation of a line in slope-intercept form is `y=mx+b`.

We are given `x`, `y`, and `m`.

So, plug these values in:
`11=12/11*-2+b`
`11=-24/11+b`
`11+24/11=b`
`121/11+24/11=b`
`145/11=b`
This is how I would leave it but feel free to turn it into a mixed fraction or decimal.

So, our equation is `y=(12/11)x+145/11`