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