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

Margie Marx 2021-12-26 Answered
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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Expert Answer

Becky Harrison
Answered 2021-12-27 Author has 2364 answers
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
Answered 2021-12-28 Author has 1499 answers
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 \(\displaystyle−{3}\).
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Vasquez
Answered 2022-01-08 Author has 9055 answers
Super i like it
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