Question

The points given in the table lie on a line. Find the slope of the line.

Answer 1

The slope is -3/2. You use the slop formula, M=y1-y2/x1-x2 and when you plug in the coordinates (-5,4) and (-3,1), youll get -3/2

Answer 2

to get the slope of any straight line, we simply need two points off of it, let's use those two in the picture below.

`(\stackrel{x_1}{-5}~,~\stackrel{y_1}{4})\qquad (\stackrel{x_2}{-1}~,~\stackrel{y_2}{-2}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{-2}-\stackrel{y1}{4}}}{\underset{\textit{\large run}} {\underset{x_2}{-1}-\underset{x_1}{(-5)}}} \implies \cfrac{ -6 }{-1 +5} \implies \cfrac{ -6 }{ 4 } \implies -\cfrac{3}{2}`