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What is the slope of the line that passes through the points (-2, 9)
and (8, 34)? Write your answer in simplest form.

Sagot :

Hello.

Use the slope formula:

[tex]\mathrm{\displaystyle\frac{y2-y1}{x2-x1} }[/tex]

[tex]\mathrm{\displaystyle\frac{34-9}{8-(-2)} }[/tex]

[tex]\mathrm{\displaystyle\frac{25}{8+2} }[/tex]

[tex]\mathrm{\displaystyle\frac{25}{10}}[/tex]

Simplify:

[tex]\mathrm{\displaystyle\frac{5}{2}}[/tex]

Therefore, the final answer is

[tex]\mathrm{\displaystyle\frac{5}2}[/tex]

I hope it helps.

Have a nice day.

[tex]\boxed{imperturbability}[/tex]

BasketballEinstein

Answer:

[tex]\displaystyle 2\frac{1}{2} = m[/tex]

Step-by-step explanation:

Plug these ordered pairs into the rate of change formula:

[tex]\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}[/tex]

I am joyous to assist you at any time.

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