zanyahrussell192
zanyahrussell192 zanyahrussell192
  • 28-01-2021
  • Mathematics
contestada

Write the equation of the line parallel to 4x - y = 5 and passes through (3, 4)​

Respuesta :

imtiazkalwar
imtiazkalwar imtiazkalwar
  • 28-01-2021

Answer:

Equation of the line parallel to 4x - y = 5 and passes through (3, 4)​ is

[tex]y=-4x+16[/tex]

Step-by-step explanation:

Slope of line 4x - y = 5 is -4. Since parallel lines have same slopes therefore slope of other line is -4 as well.

Equation of the line that passes through (3, 4)​ and has slope -4 is given as

[tex]y-y_1=m(x-x_1)[/tex]

[tex]y-4=-4(x-3)[/tex]

Simplifying it further

[tex]y=-4x+12+4[/tex]

[tex]y=-4x+16[/tex]

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