Mtovar5882 Mtovar5882
  • 17-05-2021
  • Mathematics
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If Line l^1 has equation y = 11 - 3x Find the Equation of the Line through (5,3) parallel to l^1 So y = ??????

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fichoh fichoh
  • 19-05-2021

Answer:

Step-by-step explanation:

Given equation of line is y = 11 - 3x

The equation takes the form of slope intercept equation ; y = mx + b where, m = slope and b = intercept.

Comparing the equation;

Slope, m = - 3

We obtain the equation of line passing through the point (5, 3) and parallel to the given line ;

y - y1 = m(x - x1)

x1 = 5 ; y1 = 3

y - 3 = - 3(x - 5)

y - 3 = - 3x + 15

y = - 3x + 15 + 3

y = - 3x + 18

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