Question

What is the slope of the given table below?

x= -1, 1, 3, 5
y= -2, 0, 2, 4

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 picture below.

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