Question

What is the x-intercept of the line with this equation 1/3x+y=−15 ?

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(__,0)

Answer 1

Solve for x, when y=0

Answer 2

2?

Answer 3

` ` Example.
Find the x-intercept of the line with the equation, \(\color{black}{\displaystyle (3/5)y+(4/5)x=1 }\).

` ` Solution.
You are looking for an x-intercept, so set \(\color{}{y=0}\), and solve for x.

\(\color{black}{\displaystyle (3/5){\color{red}{\times 0}}+(4/5)x=1 }\)
\(\color{black}{\displaystyle (4/5)x=1 }\)
\(\color{black}{\displaystyle (4/5)x{\color{red}{\times (5/4)}}=1{\color{red}{\times (5/4)}} }\)
\(\color{black}{\displaystyle x=5/4}\).

So, your x-intercept is at x=5/4.
(Or, if you want to write a coordinate/point, then \(\color{blue}{(5/4,~~0)}\).)