sarahleelucasmm
sarahleelucasmm sarahleelucasmm
  • 16-05-2018
  • Mathematics
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the slope of the line below is -3. which of the following is the point-slope form of the line? A.) y+2=3(x-2) B.) y+2=-3(x-2) C.) y-2=-3(x+2) D.) y-2=3(x+2)

the slope of the line below is 3 which of the following is the pointslope form of the line A y23x2 B y23x2 C y23x2 D y23x2 class=

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gmany
gmany gmany
  • 16-05-2018
The "point-slope" form of the equation of a straight line is:

[tex]y-y_1=m(x-x_1)\\\\(x_1;\ y_1)\ is\ a\ known\ point\\\\m\ is\ the\ slope\ of\ the\ line[/tex]

We have:

[tex]m=-3;\ (x_1;\ y_1)=(2;-2)[/tex]

Substitute

[tex]y-(-2)=-3(x-2)\\\\y+2=-3(x-2)[/tex]

Answer: B. y + 2 = -3(x - 2)
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