Respuesta :

rijarafiquee

Answer:

1/2

Step-by-step explanation:

y2 - y1 / x2 - x1

-3 - (-5) / 3 - (-1)

2/4

= 1/2

teamce170

Hey there!

  • Answer :

[tex] \displaystyle \red {\boxed{ \blue {\bold{ m = \frac{1}{2} }}}}[/tex]

  • Explanation :

The slope, m, of a line that passes through two points with coordinates for [tex] \displaystyle (x_1 , x_2) \text{\:and\:} (x_2 , y_2) [/tex] is given by the slope formula :

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

▪️We are given the points (-1 , -5) and (3 , -3) where :

  • [tex] \displaystyle \blue{x_1} = -1 [/tex]
  • [tex] \displaystyle \green{y_1} = -5 [/tex]
  • [tex] \displaystyle \orange{x_2} = 3 [/tex]
  • [tex] \displaystyle \red{y_2} = -3 [/tex]

Now, we have :

[tex] \displaystyle \: \implies m = \frac{ \red{ - 3} - \green{ (- 5)} }{ \orange{3} - \blue{( - 1)}} \: \: \: \: \: \: \: \: \: \: \\ \\ \implies \: m = \frac{ - 3 + 5}{3 + 1} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \implies{m = \frac{2}{4} } = \red{ \bold{ \frac{1}{2} }} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: [/tex]

Therefore, our answer is [tex] \displaystyle m = \frac{1}{2} [/tex]

▪️Learn more about finding the slope from two points :

↣https://brainly.com/question/21478821

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