Question

What is the slope of this linear function?

Y 4, -1/2,7,10,13
X -2,-1,4,6,8
answers-, -4/5 ,-3/2 ,1 ,3/2

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}{-2}~,~\stackrel{y_1}{4})\qquad (\stackrel{x_2}{6}~,~\stackrel{y_2}{10}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{10}-\stackrel{y1}{4}}}{\underset{\textit{\large run}} {\underset{x_2}{6}-\underset{x_1}{(-2)}}} \implies \cfrac{ 6 }{6 +2} \implies \cfrac{ 6 }{ 8 } \implies \cfrac{3}{4}`