malayal2006 malayal2006
  • 14-12-2020
  • Mathematics
contestada

Find the equation of the line parallel to the line y = 4x – 2 that passes through the point (1, 5).

Respuesta :

nikishashrestha
nikishashrestha nikishashrestha
  • 14-12-2020

Answer:

4x-y+1=0

Step-by-step explanation:

here,given equation of a line id

4x-y-2=0.. eqn(i)

equation of any line parallel to line (i) is

4x-y+k=0...eqn(ii)

since, the line(ii) passes through (1,5)[replacing x=1 and y=5 in eqn(ii), we get]

4*1-5+k=0

or, 4-5+k=0

or,-1+k=0

•°•k=1

substituting the value of k=1 in eqn(ii),

4x-y+1=0 is the required equation of the line.

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