# Find the x-and y-intercepts of the given equation. g(x)=2x+4

Upper level algebra
Find the x-and y-intercepts of the given equation.
$$\displaystyle{g{{\left({x}\right)}}}={2}{x}+{4}$$

2020-10-22
Calculation:
Consider the following function
$$\displaystyle{g{{\left({x}\right)}}}={2}{x}+{4}$$
For x-intercept put $$\displaystyle{g{{\left({x}\right)}}}={0}$$
$$\displaystyle{0}={2}{x}+{4}$$
$$\displaystyle{2}{x}=-{4}$$
$$\displaystyle{x}=-{2}$$
Hence, the x-intercept is at (-2, 0)
For y-intercept put $$\displaystyle{x}={0}$$
$$\displaystyle{g{{\left({0}\right)}}}={2}{\left({0}\right)}+{4}={4}$$
Hence, the y-intercept is at (0,4).