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# Find the x-and y-intercepts of this equation. k(x)=-5x+1 # Find the x-and y-intercepts of this equation. k(x)=-5x+1

Question
Upper level algebra asked 2020-11-07
Find the x-and y-intercepts of this equation.
$$\displaystyle{k}{\left({x}\right)}=-{5}{x}+{1}$$

## Answers (1) 2020-11-08
Calculation:
Consider the following function
$$\displaystyle{k}{\left({x}\right)}=-{5}{x}+{1}$$
For x-intercept put $$\displaystyle{k}{\left({x}\right)}={0}$$
$$\displaystyle{0}=-{5}{x}+{1}$$
$$\displaystyle{5}{x}={1}$$
$$\displaystyle{x}={\frac{{{1}}}{{{5}}}}$$
Hence, the x-intercept is at $$\displaystyle{\left({\frac{{{1}}}{{{5}}}},{0}\right)}$$
For y-intercept put $$\displaystyle{x}={0}$$
$$\displaystyle{k}{\left({0}\right)}=—{5}{\left({0}\right)}+{1}={1}$$
Hence, the y-intercept is at (0, 1)

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