# What are the intercepts of the line x+y=7?

Apr 17, 2018

$\left(7 , 0\right)$ and $\left(0 , 7\right)$

#### Explanation:

Intercepts can be found by setting one variable to zero and the solving for the remaining variable.

Given:

$x + y = 7$

We solve for the $x$-intercept by setting $y = 0$.

$x + 0 = 7$

$\implies x = 7$

We solve for the $y$-intercept by setting $x = 0$.

$0 + y = 7$

$\implies y = 7$

Hence, we have intercepts at $x = 7$, $y = 7$.

Equivalently, the points are $\left(7 , 0\right)$ and $\left(0 , 7\right)$.