Question

Find the x-and y-intercepts of the graph of the equation algebraically. 4x-5y=12

Upper level algebra
ANSWERED
asked 2020-10-18
Find the x-and y-intercepts of the graph of the equation algebraically.
\(\displaystyle{4}{x}-{5}{y}={12}\)

Answers (1)

2020-10-19
Calculation:
Consider, the equation, \(\displaystyle{4}{x}—{5}{y}={12}\),
To compute x-intercept, put \(\displaystyle{y}={0}\),
\(\displaystyle{4}{x}-{5}\cdot{0}={12}\)
\(\displaystyle{4}{x}={12}\)
Divide both sides by 4,
\(\displaystyle{\frac{{{4}{x}}}{{{4}}}}={\frac{{{12}}}{{{4}}}}\)
\(\displaystyle{x}={3}\)
So, the x-intercept is (3, 0).
To compute y -intercept, put \(\displaystyle{x}={0}\),
\(\displaystyle{4}\cdot{0}-{5}{y}={12}\)
\(\displaystyle-{5}{y}={12}\)
Divide both sides of the equation by —5,
\(\displaystyle{\frac{{-{5}{y}}}{{-{5}}}}={\frac{{{12}}}{{-{5}}}}\)
\(\displaystyle{y}={\frac{{-{12}}}{{{5}}}}\)
So, the y-intercept is \(\displaystyle{\left({0},{\frac{{-{12}}}{{{5}}}}\right)}\).
Hence, the x and y-intercepts of \(\displaystyle{4}{x}-{5}{y}={12}\) are (3,0) and \(\displaystyle{\left({0},{\frac{{-{12}}}{{{5}}}}\right)}\), respectively.
0
 
Best answer

expert advice

Need a better answer?

Relevant Questions

asked 2020-12-25
Find the x-and y-intercepts of the graph of the equation algebraically.
\(\displaystyle{y}={12}-{5}{x}\)
asked 2020-11-22
Find the x-and y-intercepts of the graph of the equation algebraically.
\(\displaystyle{y}={16}-{3}{x}\)
asked 2020-11-08
Find the x-and y-intercepts of the graph of the equation algebraically.
\(\displaystyle{3}{y}+{2.5}{x}-{3.4}={0}\)
asked 2021-02-09
Find the x-and y-intercepts of the graph of the equation algebraically.
\(\displaystyle{y}={5}-{\left({6}-{x}\right)}\)
asked 2020-12-02
Find the x-and y-intercepts of the graph of the equation algebraically.
\(\displaystyle{y}={2}{x}+{3}{y}={10}\)
asked 2020-11-01
Find the x-and y-intercepts of the graph of the equation algebraically.
\(\displaystyle{y}=-{3}{\left({2}{x}+{1}\right)}\)
asked 2020-11-30
Find the x-and y-intercepts of the graph of the equation algebraically.
\(\displaystyle{y}=-{5}{x}+{6}\)
asked 2021-03-06
Find the x-and y-intercepts of the graph of the equation algebraically.
\(\displaystyle{\frac{{{8}{x}}}{{{3}}}}+{50}-{2}{y}={0}\)
asked 2021-02-12
Find the x-and y-intercepts of the graph of the equation algebraically.
\(\displaystyle{y}={4}{y}-{0.75}{x}+{1.2}={0}\)
asked 2020-11-01
Find the x-and y-intercepts of the graph of the equation algebraically.
\(\displaystyle{y}={\frac{{{3}}}{{{4}}}}{x}-{\frac{{{1}}}{{{4}}}}\)

You might be interested in

...