Question

Write an equation for a function that has a slope of 3 and that passes through the point (8, 14).

Answer 1

`f(x)=3x-10`

Explanation:

Recall point-slope form: Given a point
`(x_(1), y_(1))` and the slope
`m`, the equation for the line is
`y-y_(1)=m(x-x_(1))`.

We can plug in for our point and slope!

The equation for the line is
`y-14=3(x-8)`.

Distributing the right side gives
`y-14=3x-24`.

Adding
`14` to both sides gives
`y=3x-10`.

So, the function is
`\boxed{f(x)=3x-10}` and we're done!