sunflower12106
sunflower12106 sunflower12106
  • 23-10-2018
  • Mathematics
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What is the equation of the line in standard form? PLZ HELP

What is the equation of the line in standard form PLZ HELP class=

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gmany
gmany gmany
  • 23-10-2018

The equation of a line in standard form: Ax + By = C.

The point-slope form:

[tex]y-y_1=m(x-x_1)\\\\m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

We have the points (-3, 1) and (2, -4).

Substitute:

[tex]m=\dfrac{-4-1}{2-(-3)}=\dfrac{-5}{5}=-1\\\\y-1=-1(x-(-3))\\\\y-1=-(x+3)\\\\y-1=-x-3\qquad|+1\\\\y=-x-2\qquad|+x\\\\x+y=-2[/tex]

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