Question

What is the slope of the line through (-5,2) and (6,7) in the standard coordinate plane

Answer 1

Answer and Step-by-step explanation:

We're asked to find the slope given the following two points:

(-5,2) and (6,7)

There's a formula for finding the slope through any two points:

→
`\bf{m=\cfrac{y_2-y_1}{x_2-x_1}}`

Now we just plug in our points

→
`\bf{m=\cfrac{7-2}{6-(-5)}}`

→
`\bf{m=\cfrac{5}{6+5}}`

→
`\bf{m=\cfrac{5}{11}}`

∴ the slope is 5/11

Answer 2

`(\stackrel{x_1}{-5}~,~\stackrel{y_1}{2})\qquad (\stackrel{x_2}{6}~,~\stackrel{y_2}{7}) ~\hfill~ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{7}-\stackrel{y1}{2}}}{\underset{\textit{\large run}} {\underset{x_2}{6}-\underset{x_1}{(-5)}}} \implies \cfrac{ 5 }{6 +5} \implies \cfrac{ 5 }{ 11 }`