samalam03 samalam03
  • 25-07-2018
  • Mathematics
contestada

Identify an equation in slope Intercept form for the line parallel to y= -3x+7 that passes through (2,-4)

Respuesta :

gmany
gmany gmany
  • 05-08-2019

Answer:

y = -3x + 2

Step-by-step explanation:

The slope-intercept form of an equation of a line:

[tex]y=mx+b[/tex]

m - slope

b - y-intercept

We have the equation of a line:

[tex]y=-3x+7\to m=-3,\ b=7[/tex]

Parallel lines have the same slope. Therefore we have the equation:

[tex]y=-3x+b[/tex]

Put the coordinates of the given point (2, -4) to the equation:

[tex]-4=-3(2)+b[/tex]

[tex]-4=-6+b[/tex]               add 6 to both sides

[tex]2=b\to b=2[/tex]

Finally:

[tex]y=-3x+2[/tex]

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