Question

To calculate: The intercepts on the coordinate axes of the straight line with the given equation 2y-4=3x

Alternate coordinate systems
ANSWERED
asked 2020-11-01
To calculate: The intercepts on the coordinate axes of the straight line with the given equation \(\displaystyle{2}{y}-{4}={3}{x}\)

Expert Answers (1)

2020-11-02

Concept used: If a straight line passes through 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 y=0 and solving for a, similarly, the y-intercept is found by setting y=0 and solving for b. Calculation: For the given equation \(\displaystyle{2}{y}-{4}={3}{x}\) \(\displaystyle{x}={0}\Rightarrow-{4}={3}{x}\Rightarrow{x}-\int{e}{r}{c}{e}{p}{t}={\frac{{-{4}}}{{{3}}}}\)\(​x=0 \Rightarrow 2y-4=0 \Rightarrow y-intercept =2\)

\(Answer: x-intercept , y-intercept=2\)

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