Question

What is the slope of the line that passes through the points listed in the table?

Answer 1

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

`(\stackrel{x_1}{4}~,~\stackrel{y_1}{7})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{3}) ~\hfill~ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{3}-\stackrel{y1}{7}}}{\underset{\textit{\large run}} {\underset{x_2}{5}-\underset{x_1}{4}}} \implies \cfrac{ -4 }{ 1 } \implies - 4`