oso8100 oso8100
  • 01-06-2021
  • Mathematics
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An equation of the line passing through the points (4,3) and (-1,1)

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hnori22003
hnori22003 hnori22003
  • 01-06-2021

A = ( 4 , 3 ) ..**&**.. B = ( - 1 , 1 )

_____________________________

Slope = [ y(B) - y(A) ] ÷ [ x(B) - x(A) ]

Slope = [ 1 - 3 ] ÷ [ - 1 - 4 ]

Slope = [ - 2 ] ÷ [ - 5 ]

Slope = 2/5

______________________________

y - y(0) = Slope × ( x - x(0) )

y - y(A) = Slope × ( x - x(A) )

y - 3 = 2/5 × ( x - 4 )

y - 3 = 2/5 x - 8/5

y = 2/5 x - 8/5 + 3

y = 2/5 x - 8/5 + 15/5

y = 2/5 x + 7/5

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