Slope

Slope from two points - Questions

Answers

1. C. \(-3\).

\(\text { Slope }=\frac{\text { Rise }}{\text { Run }}=\frac{\text { Change in } y}{\text { Change in } x}\)

\(\begin{aligned}

\text { Slope } &=\frac{-4-8}{3-(-1)} \\

&=\frac{-12}{4} \\

&=-3

\end{aligned}\)

The slope is \(-3\).


2. B. \(4\)

\(\text { Slope }=\frac{\text { Rise }}{\text { Run }}=\frac{\text { Change in } y}{\text { Change in } x}\)

\(\begin{aligned}

\text { Slope } &=\frac{9-(-7)}{3-(-1)} \\

&=\frac{16}{4} \\

&=4

\end{aligned}\)

The slope is \(4\).


3. A. \(\frac {1}{2}\)

\(\text { Slope }=\frac{\text { Rise }}{\text { Run }}=\frac{\text { Change in } y}{\text { Change in } x}\)

\(\begin{aligned}

\text { Slope } &=\frac{9-6}{-3-(-9)} \\

&=\frac{3}{6} \\

&=\frac{1}{2}

\end{aligned}\)

The slope is \(\frac {1}{2}\).


4. B. \(- \frac {5}{7}\)

\(\text { Slope }=\frac{\text { Rise }}{\text { Run }}=\frac{\text { Change in } y}{\text { Change in } x}\)

\(\begin{aligned}

\text { Slope } &=\frac{-3-2}{3-(-4)} \\

&=\frac{-5}{7} \\

&=-\frac{5}{7}

\end{aligned}\)

The slope is \(-\frac {5}{7}\).