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

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Answer 1 · 2018-04-17T00:12:19

#(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)#.