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

Answer 1

Eli Assouline

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

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]}

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Answer 2

Savannah Anderson

To find the x-intercept, let y = 0 and solve for x. To find the y-intercept, let x = 0 and solve for y.

For x-intercept: [x + 0 = 3] [x = 3]

For y-intercept: [0 + y = 3] [y = 3]

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.