SOLUTION: Prove that and explain that x/a+y/b=1 has x intercept a and y intercept b

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Question 105271This question is from textbook Algebra 2 with trigonometry
: Prove that and explain that x/a+y/b=1 has x intercept a and y intercept b This question is from textbook Algebra 2 with trigonometry

Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
x/a+y/b=1
bx+ay=ab multiply both sides times ab to get rid of fractions.
ay=ab-bx
at trhe x intercept y=0: ab-bx=0
a-x=0 divide each side by b.
x=a the x intercept is a
.
bx+ay=ab
bx=ab-ay
at the y intercept x=0: ab-ay=0
b-y=0
y=b
.
Ed