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How do you find the x and y intercepts of #x-y=4#?

Answer 1

x-intercept: #4#
y-intercept: #-4#

The x-intercept is the value of #x# where the equation crosses the X-axis; note that the X-axis is the collection of points for which #y=0#, so another way of saying this is: the x-intercept is the value of #x# when #y=0# #(x-y=4)# with #y=0 rarr (x-0=4) rarr (x=4)#

Similarly, the y-intercept is the value of #y# when #x=0# #(x-y=4)# with #x=0 rarr (0-y=4) rarr (y=-4)#

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Answer 2

Abigail Allen

To find the x-intercept, set y to 0 and solve for x. To find the y-intercept, set x to 0 and solve for y.

For the x-intercept: x - 0 = 4 x = 4
For the y-intercept: 0 - y = 4 -y = 4 y = -4

Therefore, the x-intercept is (4, 0) and the y-intercept is (0, -4).

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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.