Question

The equation of the line with slope 2 that goes through the point (-9, 15) can be written in the form y=mx + b, where Preview m= Preview

Answer 1

`y = 2x + 33`

Explanation:

The equation of the line has the following format:

`y = mx + b`

In which m is the slope of the line.

We want the equation of a line:

That has slope 2, so
`m = 2`

`y = 2x + b`

Also that goes through the point (-9, 15). This means that
`x = -9, y = 15`. So

`15 = 2(-9) + b`

`15 = -18 + b`

`b = 33`

The equation of the line is:

`y = 2x + 33`