Respuesta :

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Answer:

y = 4x – 10

Step-by-step explanation:

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

point-slope formula: [tex]y-y_{1}=m\left(x-x_{1}\right)[/tex]

  1. Use slope formula and plug in your numbers: [tex]m = \frac{-18-6}{-2-4 }[/tex]
  2. Solve for slope [tex]m = 4[/tex]
  3. Use the point-slope formula to solve for the equation: [tex]y-6=4\left(x-4\right)[/tex]
  4. Solve and find equation: [tex]y=4x-10[/tex]

Note: When given two points you only need to pick one for the point-slope formula! Best to choose the positive one so you don't have to deal with the negatives!

Hope this helps! Please give Brainliest!

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