# How do you calculate the slope, x intercept, and y

How do you calculate the slope, x intercept, and y intercept of the following equation: $$\displaystyle{f{{\left({x}\right)}}}=−{6}{x}−{3}$$?

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Becky Harrison
slope $$\displaystyle=−{6}$$
y intercept $$\displaystyle=−{3}$$
x intercept $$\displaystyle=-{\frac{{{1}}}{{{2}}}}$$
Explanation:
the slope is the number before the x, so
slope $$\displaystyle=−{6}$$
the y intercept in the number added, so
y intercept $$\displaystyle=−{3}$$
the x intercept is where the line crosses the x axis, so it's where the y value is zero. therefore, we can say that the equation equals zero, and solve for x.
$$\displaystyle{0}=−{6}{x}−{3}$$
$$\displaystyle{3}=−{6}{x}$$
$$\displaystyle-{\frac{{{1}}}{{{2}}}}={x}$$
x intercept $$\displaystyle=-{\frac{{{1}}}{{{2}}}}$$
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Edward Patten
The slope of $$\displaystyle{f{{\left({x}\right)}}}=−{6}{x}−{3}$$ is $$\displaystyle−{6}$$ and intercept on $$\displaystyle{y}$$ -axis is $$\displaystyle−{3}$$.
Explanation:
The equation is already in slope intercept form $$\displaystyle{y}={m}{x}+{c}$$, where $$\displaystyle{m}$$ is slope and $$\displaystyle{c}$$ is intecept on $$\displaystyle{y}$$ axis.
Hence, the slope of $$\displaystyle{f{{\left({x}\right)}}}=−{6}{x}−{3}$$ is $$\displaystyle−{6}$$ and intercept on $$\displaystyle{y}$$ -axis is $$\displaystyle−{3}$$.
Vasquez
Super i like it