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

Dec 4, 2015

The x-intercept is $3$, and the point is $\left(3 , 0\right)$.
The y-intercept is $3$, and the point is $\left(0 , 3\right)$.

Explanation:

The x-intercept is the value of $x$ when $y = 0$. Substitute $0$ for $y$ in the equation.

$x + y = 3$

$x + 0 = 3$

$x = 3$

The x-intercept is $3$, and the point is $\left(3 , 0\right)$.

The y-intercept is the value of $y$ when $x = 0$. Substitute $0$ for $x$ in the equation.

$x + y = 3$

$0 + y = 3$

$y = 3$

The y-intercept is $3$, and the point is $\left(0 , 3\right)$.

graph{x+y=3 [-10, 10, -5, 5]}