Question

How do you use function notation to write the equation of the line with the slope of 2 and y-intercept of `(0,-6/7)`?

Answer 1

You need to remember that function notation simply uses `f(x)` to denote `y`. Therefore if we can write an equation in slope-intercept form, `y=mx+b` then we can change that to function notation.

Remember in slope-intercept, `y=mx+b`, `m` represents the slope and `b` represents the y-intercept.

We are given a slope of 2, so `m=2`

We are given a y-intercept of `(0,-6/7)`, so `b=-6/7`

This gives us `y=2x-6/7`

Now simply replace `y` with `f(x)` giving us

`f(x)=2x-6/7`