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

Question
Upper level algebra
Find the x- and y-intercepts of the graph of the equation.
$$\displaystyle{y}={14}{x}-{6}$$

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)

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