jelliib
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  • 02-12-2020
  • Mathematics
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what is the slope kf the line that passes through (5,-11) and (-9,17)​

what is the slope kf the line that passes through 511 and 917 class=

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absor201
absor201 absor201
  • 02-12-2020

Answer:

The slope is:

[tex]m=-2[/tex]

Step-by-step explanation:

Given the points

  • (5, -11)
  • (-9, 17)

Finding the slope between the points using the formula

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

[tex]\left(x_1,\:y_1\right)=\left(5,\:-11\right),\:\left(x_2,\:y_2\right)=\left(-9,\:17\right)[/tex]

[tex]m=\frac{17-\left(-11\right)}{-9-5}[/tex]

[tex]m=-2[/tex]

Therefore, the slope is:

[tex]m=-2[/tex]

Thus, option A is true.

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