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

Hello.

Use the slope formula:

$\mathrm{\displaystyle\frac{y2-y1}{x2-x1} }$

$\mathrm{\displaystyle\frac{34-9}{8-(-2)} }$

$\mathrm{\displaystyle\frac{25}{8+2} }$

$\mathrm{\displaystyle\frac{25}{10}}$

Simplify:

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

Therefore, the final answer is

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

I hope it helps.

Have a nice day.

$\boxed{imperturbability}$

Answer 2

Answer:

$\displaystyle 2\frac{1}{2} = m$

Step-by-step explanation:

Plug these ordered pairs into the rate of change formula:

$\displaystyle \frac{-y_1 + y_2}{-x_1 + x_2} = m \\ \\ \frac{-9 + 34}{2 + 8} \hookrightarrow \frac{25}{10} = 2\frac{1}{2} \\ \\ \boxed{2\frac{1}{2} = m}$

I am joyous to assist you at any time.