Question

The points (−5, 14) and (7, r) lie on a line with slope 5. Find the missing coordinate r. r=

Answer 1

EXPLANATION :

Recall the slope formula :

$m=\frac{y_2-y_1}{x_2-x_1}$

From the problem, we have the points (-5, 14) and (7, r).

The slope of the line is m = 5

Using the formula above :

$\begin{gathered} 5=\frac{r-14}{7-(-5)} \\ \\ 5=\frac{r-14}{12} \\ \\ \text{ Cross multiply :} \\ \\ 5(12)=r-14 \\ 60=r-14 \\ r=60+14 \\ r=74 \end{gathered}$

ANSWER :

The value of r is r = 74