smhallie
smhallie smhallie
  • 07-09-2018
  • Mathematics
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Use function notation to write the equation of the line

Use function notation to write the equation of the line class=

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gmany
gmany gmany
  • 07-09-2018

[tex]f(x)=mx+b\to y=mx+b[/tex]

We have two points:

[tex](-2,\ -6);\ (0,\ 0)[/tex]

The point slope form of the line:

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

substitute

[tex]m=\dfrac{0-(-6)}{0-(-2)}=\dfrac{6}{2}=3\\\\y-0=3(x-0)\\\\y=3x[/tex]

Answer:

[tex]f(x)=3x[/tex]

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