Question

What is the equation of the line with a slope of 4 and passes through the point (1, -4)?

Answer 1

Answer: y = 4x - 8

Explanation:

The best way to go about this is to first put the information you know into point-slope form, which is:

`y-y_(1) =m(x-x_(1))`

`y_(1)` and
`x_(1)` represent the values of our point (1, -4), so:

`y_(1)=-4`, and
`x_(1)=1`.

`m` represents our slope of 4, so:

`m=4`

From this, we can plug in our values:

`y-(-4)=4(x-1)`

A little simplification and distrobution takes us to this:

`y+4=4x-4`

Then simply subract 4 from both sides to get this:

`y=4x-8`

An easier way to reason this is to visualize the line in your head and figuring out what the y-intercept is so you can go strait into the
`y=mx+b` form where b is the y-intercept.

Answer 2

y=4x-8

Explanation:

m=4 (1,-4)

-4=4(1) + c

-4=4+c

-4-4=c

-8=c

y=4x-8