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)?

1 Answer
Feb 6, 2015

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