# How do you find the y intercept for y = 12x^2 - 35x + 8?

Apr 6, 2018

The $y$-intercept is $\left(0 , 8\right)$.

#### Explanation:

$y$-intercept is the value at which $x$ is zero , or the value of $y$ which the point on the line of the graph crosses the $y$ axis .

Since $x$ has to be $0$, let's substitute $0$ for $x$ in the equation:
$y = 12 {x}^{2} - 35 x + 8$
$y = 12 {\left(0\right)}^{2} - 35 \left(0\right) + 8$
$y = 0 - 0 + 8$
$y = 8$

Finally, since a $y$-intercept is a point, we must write it as one. So the point is $\left(0 , 8\right)$.

If we are to graph this, we can see that the graph does indeed have a $y$-intercept of $\left(0 , 8\right)$:

Hope this helps!