# 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)?

Feb 6, 2015

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

Remember in slope-intercept, $y = m x + b$, $m$ 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 $\left(0 , - \frac{6}{7}\right)$, so $b = - \frac{6}{7}$

This gives us $y = 2 x - \frac{6}{7}$

Now simply replace $y$ with $f \left(x\right)$ giving us

$f \left(x\right) = 2 x - \frac{6}{7}$