makaylaannmille
makaylaannmille makaylaannmille
  • 14-10-2018
  • Mathematics
contestada

which equation is the standard form equation of the line that passes through the point (-2,0) and has a slope of 4

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gmany
gmany gmany
  • 17-10-2018

The standard form of a line:

[tex]Ax+By=C[/tex]

The slope-point formula:

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

We have (-2, 0) and m = 4.

Substitute:

[tex]y-0=4(x-(-2))\\\\y=4(x+2)\\\\y=(4)(x)+(4)(2)\\\\y=4x+8\qquad|-4x\\\\-4x+y=8\qquad|\cdot(-1)\\\\4x-y=-8[/tex]

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