rachelwilliams06
rachelwilliams06 rachelwilliams06
  • 01-12-2020
  • Mathematics
contestada

write an equation of the line passing through points (3,8) and (-2,-22)

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sophiew4
sophiew4 sophiew4
  • 01-12-2020

Answer:

[tex]y=6x-10[/tex]

Step-by-step explanation:

First, we can find the slope using the two given points.

[tex]m=\frac{y2-y1}{x2-x1}=\frac{-22-8}{-2-3}=\frac{-30}{-5}=6[/tex]

Then, we can use the slope we just found and one of the given points to find the y-intercept.

[tex]y=mx+b\\y=6x+b\\8=6(3)+b\\8=18+b\\b=-10[/tex]

And we can put our equation together.

[tex]y=6x-10[/tex]

Hope this helps!

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