Find the x- and y-intercepts of the graph of the equation. y=14x-6

Question
Upper level algebra
asked 2021-01-22
Find the x- and y-intercepts of the graph of the equation.
\(\displaystyle{y}={14}{x}-{6}\)

Answers (1)

2021-01-23
For, x-intercept, \(\displaystyle{y}={0}\):
\(\displaystyle\Rightarrow{0}={14}{x}-{6}\)
\(\displaystyle\Rightarrow{6}={14}{x}\)
\(\displaystyle\Rightarrow{14}{x}={6}\)
\(\displaystyle\Rightarrow{x}={\frac{{{6}}}{{{14}}}}\)
\(\displaystyle\Rightarrow{x}={\frac{{{3}}}{{{7}}}}\)
So, x-intercept \(\displaystyle={\left({\frac{{{3}}}{{{7}}}},{0}\right)}\)
For, y-intercept, \(\displaystyle{x}={0}\):
\(\displaystyle\Rightarrow{y}={14}{\left({0}\right)}-{6}\)
\(\displaystyle\Rightarrow{y}={0}-{6}\)
\(\displaystyle\Rightarrow{y}=-{6}\)
so, y-intercept=(0,-6)
0

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