DerrickCarr44
DerrickCarr44 DerrickCarr44
  • 03-02-2020
  • Mathematics
contestada

Find the equation of the line parallel to the given line and passing through the given point y=3;(-2,7)

Respuesta :

frika
frika frika
  • 10-02-2020

Answer:

[tex]y=7[/tex]

Step-by-step explanation:

The slope of the line with the equation [tex]y=3[/tex] is [tex]m=0.[/tex]

Parallel lines have the same slopes, so the slope of neededline is [tex]m=0[/tex] too.

The equation of the needed line will be

[tex]y=mx+b\\ \\y=0\cdot x+b\\ \\y=b[/tex]

This line passes through the point [tex](-2,7),[/tex] so its coordinates satisfy the equation:

[tex]7=b[/tex]

and the equation of needed line is

[tex]y=7[/tex]

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