# How do you find the x and y intercepts for y=7x+8?

Apr 26, 2018

$x$-intercept: $x = - \frac{8}{7}$
$y$-intercept: $y = 8$

#### Explanation:

A graph intercepts the $y$-axis when $x = 0$ and the $x$-axis when $y = 0$. So, we must plug in zero for both variables, respectively, and solve.

$y$-intercept ($x = 0$)

$y = 7 \left(0\right) + 8$

$\textcolor{b l u e}{y = 8}$

$x$-intercept ($y = 0$)

$0 = 7 x + 8$

$7 x = - 8$

$\textcolor{\lim e}{x = - \frac{8}{7}}$

Our intercepts are in blue and lime green. Hope this helps!