Respuesta :

VirαtKσhli

Given :-

  • y = 2x -1
  • A point (4,-5)

To Find :-

  • The equation of line parallel to the given line and passing through the given point .

Solution :-

As we know that the slope of two parallel lines are same . So , the given equation is ,

[tex]\sf\longrightarrow[/tex] y = 2x -1

On comparing to the slope intercept form of the line we have ,

[tex]\sf\longrightarrow[/tex] m = 2

Hence the slope of the parallel line will be 2 .

Now here we can use the point slope form of the line as ,

[tex]\sf\longrightarrow[/tex] y - (-5) = 2( x - 4)

[tex]\sf\longrightarrow[/tex] y + 5 = 2x -8

[tex]\sf\longrightarrow[/tex] 2x - y -8 -5 = 0

[tex]\sf\longrightarrow[/tex] 2x - y -13 = 0

Hence the required answer is 2x - y -13 = 0.

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