How do you find the x and y intercept for #x+y=1#?

1 Answer
Mar 14, 2018

Answer:

X-intercept #x=1#
Y-intercept #y=1#

Explanation:

The X-intercept is the value of #x# where the equation crosses the X-axis; since for all points on the X-axis #y=0#, this is the same as saying that the X-intercept is the value of #x# when #y=0#

Evaluating #x+y=1# with #y=0# gives #x=0#

Similarly, the Y-intercept is the value of #y# when #x=0#

Evaluating #x+y=1# with #x=0# gives #y=1#

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Some instructors prefer that these values be specified as coordinates.
In this case:
X-intercept is at #(1,0)#
and
Y-intercept is at #(0,1)#