# Given f(x)=2(3x+4)-6, how do you find the y intercept?

May 8, 2018

Simplify the equation to get $6 x + 2$, meaning the $y$-int. is $\left(0 , 2\right)$.

#### Explanation:

The equation in the question has not yet been simplified down yet. We want to get it into slope-intercept form, or

$y = m x + b$

So we multiply out $2 \left(3 x + 4\right)$ and get

$y = 6 x + 8 - 6$

Now we add in the $- 6$ and our equation should look like

$y = 6 x + 8 - 6$

We know that $8 - 6$ is $2$, so our $b$ value, i.e. the $y$-intercept, is $2$ and $m$ (the slope) is $6$.

The final product should look like:

$y = 6 x + 2$

Hence, the $y$-intercept is $\left(0 , 2\right)$.

Hope this helped.