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# Find the x-and y-intercepts of the graph of the equation algebraically. y=-5x+6 # Find the x-and y-intercepts of the graph of the equation algebraically. y=-5x+6

Question
Upper level algebra asked 2020-11-30
Find the x-and y-intercepts of the graph of the equation algebraically.
$$\displaystyle{y}=-{5}{x}+{6}$$

## Answers (1) 2020-12-01
Calculation:
Consider, the equation,
$$\displaystyle{y}=-{5}{x}+{6}$$
To determine x-intercept, substitute $$\displaystyle{y}={0}$$ in the above equation,
$$\displaystyle{0}=-{5}{x}+{6}$$
$$\displaystyle{5}{x}={6}$$
$$\displaystyle{x}={\frac{{{6}}}{{{5}}}}$$
Therefore, the x-intercept is $$\displaystyle{\left({\frac{{{6}}}{{{5}}}},{0}\right)}$$.
To determine y -intercept, substitute $$\displaystyle{x}={0}$$ in the equation, $$\displaystyle{y}=-{5}{x}+{6}$$,
$$\displaystyle{y}=-{5}\times{0}+{6}={6}$$
Therefore, y-intercept is $$\displaystyle{\left({0},{6}\right)}$$.

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