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

Answer 1

Abigail Allen

#(7,0)# and #(0,7)#

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#

#=>x = 7#

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

#0+y=7#

#=>y = 7#

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

Equivalently, the points are #(7,0)# and #(0,7)#.

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Answer 2

Jameson Allen

To find the intercepts of the line x+y=7, we set one variable to zero and solve for the other. For the x-intercept, set y=0: x + 0 = 7 x = 7 So, the x-intercept is (7, 0). For the y-intercept, set x=0: 0 + y = 7 y = 7 So, the y-intercept is (0, 7).

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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.