Question

A line in the Cartesian plane passes through the points (5,8) and (9,15). What is the slope of the line?

A. 4⁄7
B. –7⁄4
C. –4⁄7
D. 7⁄4

Answer 1

`\bf (\stackrel{x_1}{5}~,~\stackrel{y_1}{8})\qquad (\stackrel{x_2}{9}~,~\stackrel{y_2}{15}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{15-8}{9-5}\implies \cfrac{7}{4}`