Warm Up Solutions

1. Determine the slope between the points $(14.2, –6.3)$ and $(–5.8, –7.9)$.

$$\begin{gathered} \left(14.2, –6.3\right), \left(–5.8, –7.9\right) \\ m=\frac{y_2– y_1}{x_2– x_1}=\frac{–7.9–\left(–6.3\right)}{–5.8–14.2} \\ m=\frac{–1.6}{–20}=\frac{8}{100}=0.08 \end{gathered}$$

1. Determine the missing x-value given $(6.2, 1), (x, 0.7),$ and  $m=0.3.$

$\begin{array}{rcl}m& =& 0.3, \left(6.2, 1\right), \left(x, 0.7\right)\\ m& =& \frac{y_2– y_1}{x_2– x_1}\\ \frac{0.3}{1}& =& \frac{1–0.7}{6.2–x}\\ \frac{0.3}{1}& =& \frac{0.3}{6.2–x}\\ x& =& 5.2\end{array}$