frasermaryjo232 frasermaryjo232
  • 11-10-2018
  • Mathematics
contestada

(6,-2),(r,-6),m=4 find the value of r so that the line passes through each pair of points has a given slope

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jimrgrant1 jimrgrant1
  • 11-10-2018

r = 5

calculate the slope m using the gradient formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with ( x₁, y₁ ) = (6, - 2 ) and (x₂, y₂ ) = (r, - 6)

m = [tex]\frac{-6+2}{r-6}[/tex] = [tex]\frac{-4}{r-6}[/tex] = 4

cross multiply

4(r - 6 ) = - 4

4r - 24 = 4 ( add 24 to both sides and divide by 4 )

4r = 20

r = [tex]\frac{20}{4}[/tex] = 5


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