Respuesta :

Answer:

slope = 3

Step-by-step explanation:

calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (1, 3 ) and (x₂, y₂ ) = (9, 27 )

m = [tex]\frac{27-3}{9-1}[/tex] = [tex]\frac{24}{8}[/tex] = 3

[tex]\mathbb{FINAL\:ANSWER:}[/tex]

[tex]\huge\boxed{\sf\:Slope=3}}[/tex]

[tex]\mathbb{SOLUTION\:WITH\:STEPS:}[/tex]

Hi! Hope you are having a nice day!

We are given 2 points that the line passes through, so we can use the slope formula and find the slope.

Slope Formula:

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

[tex]\displaystyle\frac{27-3}{9-1}[/tex]

[tex]\displaystyle\frac{24}{8}[/tex]

The fraction can be reduced:

[tex]\displaystyle\frac{3}{1}[/tex]

which is the same as

[tex]3[/tex]

Hope you could understand everything.

#CarryOnLearning

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