Question

Find the x-and y-intercepts of the graph of the equation algebraically. y=5-(6-x)

Upper level algebra
ANSWERED
asked 2021-02-09
Find the x-and y-intercepts of the graph of the equation algebraically.
\(\displaystyle{y}={5}-{\left({6}-{x}\right)}\)

Answers (1)

2021-02-10
Calculation:
Consider, the equation, \(\displaystyle{y}={5}-{\left({6}—{x}\right)}\),
To compute x-intercept, put \(\displaystyle{y}={0}\).
\(\displaystyle{0}={5}-{\left({6}-{x}\right)}\)
Opening the bracket, multiply by -1, this gives,
\(\displaystyle{0}={5}-{6}+{x}\)
\(\displaystyle{0}=-{1}+{x}\)
\(\displaystyle{x}={1}\)
So, the x-intercept is (1,0).
To compute y-intercept, put \(\displaystyle{x}={0}\).
\(\displaystyle{y}={5}-{\left({6}-{0}\right)}\)
\(\displaystyle{y}={5}-{6}\)
\(\displaystyle{y}=-{1}\)
So, the y -intercept is (0, -1).
Hence, the x and y -intercepts of \(\displaystyle{y}={5}-{\left({6}-{x}\right)}\) are (1,0) and (0,-1),respectively.
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