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What is the y intercept of the line #x+y=7 #?

Answer 1

The y-intercept is 7.

#x + y = 7# here is in standard form which is #ax+by=c#. So that it would be easier to find out the y-intercept, we must convert it into slope-intercept form (#y=mx+b#).

Transpose #x# to the other side. It will become #y=-x+7#.

Since #m# is the slope and #b# is the y-intercept, (referring to #y = mx+b#) we should compare the two:

#y = mx+b# = #y = -x+7#

Comparing the two, you can see that #b = 7#.

Therefore, the y-intercept is #7#.

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Answer 2

Jace Anderson

To find the y-intercept of the line x + y = 7, you set x to 0 and solve for y.

When x is 0:

0 + y = 7

Therefore, y = 7.

So, the y-intercept is 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.