Respuesta :

Slope is found by finding change in y over change in x
Subtract and you get -1
See picture
teamce170

Hey there!

  • Answer :

[tex] \displaystyle{ \red{ \boxed{ \green{ \bold{m = - 1}}}}}[/tex]

[tex] \\ [/tex]

  • Explanation:

To find the slope of a line using two points [tex] \displaystyle{(x_1 , y_1)} [/tex] and [tex] \displaystyle{(x_2 , y_2)} [/tex] , we can use the slope formula.

This formula corresponds to the quotient of the change in y [tex] \: [/tex] over [tex] \: [/tex] the change in x :

[tex] \displaystyle{m = \frac{ \blue{y_2} - \orange{y_1}}{ \green{x_2} - \red{x_1} }}[/tex]

[tex] \\ [/tex]

[tex] \hookrightarrow [/tex] We are given the points (-2 , 3) and (-5 , 6) where:

  • [tex] \red{x_1} [/tex] = -2
  • [tex] \orange{y_1} [/tex] = 3
  • [tex] \green{x_2} [/tex] = -5
  • [tex] \blue{y_2} [/tex] = 6

[tex] \\ [/tex]

[tex]\displaystyle{ \hookrightarrow m = \frac{\blue{6} - \orange{3}}{\green{-5} - \red{(-2)}}} \\ \\ \displaystyle{\implies m=\frac{3}{-3}} \\ \\ \displaystyle{\purple{\implies} \boxed{\bold{m=-1}}}[/tex]

Therefore, the slope of the line is -1.

[tex] \\ [/tex]

▪️Learn more about finding the slope of a line from 2 points :

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