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  • 02-10-2020
  • Mathematics
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Find the slope of the line through the points (6,16) and (−6,4)

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VectorFundament120
VectorFundament120 VectorFundament120
  • 02-10-2020

[tex]m = \frac{y2-y1}{x2-x1}[/tex]

[tex]m = \frac{4-16}{-6-6} \\m = \frac{-12}{-12} \\\\m = 1[/tex]

Therefore, the slope of the line is 1. In case if you want to know the equation.

[tex]y=mx+b\\y=x+b\\4=-6+b\\4+6=b\\10=b\\[/tex]

Therefore, the equation is y=x+10 by substituting the (-6,4) or we can substitute (6,16) too.

[tex]y=mx+b\\y=x+b\\16=6+b\\16-6=b\\10=b\\[/tex]

It's the same, you can use any orders given.

Overall, the slope is 1 and the equation is y=x+10

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