Question

What is the slope of the line that passes through the points (-2, 9)

and (8, 34)? Write your answer in simplest form.

Answer 1

`\displaystyle 2(1)/(2) = m`

Explanation:

Plug these ordered pairs into the rate of change formula:

`\displaystyle (-y_1 + y_2)/(-x_1 + x_2) = m \\ \\ (-9 + 34)/(2 + 8) \hookrightarrow (25)/(10) = 2(1)/(2) \\ \\ \boxed{2(1)/(2) = m}`

I am joyous to assist you at any time.

Answer 2

Hello.

Use the slope formula:

`\mathrm{\displaystyle(y2-y1)/(x2-x1) }`

`\mathrm{\displaystyle(34-9)/(8-(-2)) }`

`\mathrm{\displaystyle(25)/(8+2) }`

`\mathrm{\displaystyle(25)/(10)}`

Simplify:

`\mathrm{\displaystyle(5)/(2)}`

Therefore, the final answer is

`\mathrm{\displaystyle\frac{5}2}`

I hope it helps.

Have a nice day.

`\boxed{imperturbability}`