The intercepts on the coordinate axes of the straight line with the given equation displaystyle{4}{x}-{3}{y}={12}.

The intercepts on the coordinate axes of the straight line with the given equation displaystyle{4}{x}-{3}{y}={12}.

Question
Alternate coordinate systems
asked 2021-02-25
The intercepts on the coordinate axes of the straight line with the given equation \(\displaystyle{4}{x}-{3}{y}={12}.\)

Answers (1)

2021-02-26
Concept used:
If a straight line passes through the points (a, 0) (on the x-axis) and (0, b) (on the y-axis), we say that the x-intercept is a and the y-intercept is
b.
The x -intercept is found by setting \(\displaystyle{y}={0}\) and solving for a, similarly, the y-intercept is found by setting \(\displaystyle{x}={0}\) and solving for b.
Calculation:
For the given equation \(\displaystyle{4}{x}-{3}{y}={12}\)
\(\displaystyle{y}={0}\Rightarrow{4}{x}={12}\Rightarrow{x}-\text{intercept}={3},\)
\(\displaystyle{x}={0}\Rightarrow-{3}{y}={12}\Rightarrow{y}-\text{intercept}=-{4}\)
Conclusion:
For the given line, \(\displaystyle{x}-\text{intercept}={3}{\quad\text{and}\quad}{y}-\text{intercept}=-{4}\)
0

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