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  • 24-11-2020
  • Mathematics
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What is the slope of the line shown below?

What is the slope of the line shown below class=

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absor201
absor201 absor201
  • 24-11-2020

Answer:

[tex]m=-\frac{2}{3}[/tex]

Step-by-step explanation:

Taking any two points on the line to find the slope

  • (6, -3)
  • (-6, 5)

Let us find the slope between the two points we took from the line graph

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(6,\:-3\right),\:\left(x_2,\:y_2\right)=\left(-6,\:5\right)[/tex]

[tex]m=\frac{5-\left(-3\right)}{-6-6}[/tex]

[tex]m=-\frac{2}{3}[/tex]

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