Question

Given segment AB with A(-2, 5) and B(1, 1), which is the slope of the line parallel to

segment AB?
m=-4/3
m=4
m=4/3
m=3/4

Answer 1

keeping in mind that parallel lines have exactly the same slope, let's check for the slope of the segment AB

`(\stackrel{x_1}{-2}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{1}~,~\stackrel{y_2}{1}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{1}-\stackrel{y1}{5}}}{\underset{run} {\underset{x_2}{1}-\underset{x_1}{(-2)}}} \implies \cfrac{-4}{1 +2}\implies {\LARGE \begin{array}{llll} -\cfrac{4}{3} \end{array}}`