# How do you find the intercepts for y= 7x + 3?

May 20, 2018

x: ($- \frac{3}{7} , 0$)
y: ($0 , 3$)

#### Explanation:

x-intercept: set y=0
$\setminus \textcolor{red}{0} = 7 x + 3$
$- 3 = 7 x$
$- \frac{3}{7} = x$

y-intercept: set x=0
$y = 7 \left(\setminus \textcolor{red}{0}\right) + 3$
$y = 0 + 3 = 3$

Alternatively, you can already find the y-intercept because it is in the setup of the equation.
$y = m x + b$ where $m = \setminus \textrm{s l o p e} = 7$ and
$b = \setminus \textrm{y - \int e r c e p t} = 3$.