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

1 Answer
Dec 4, 2015

Answer:

The x-intercept is #3#, and the point is #(3,0)#.
The y-intercept is #3#, and the point is #(0,3)#.

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 #(3,0)#.

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 #(0,3)#.

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