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  • 20-12-2020
  • Mathematics
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write an equation in point slope form that represents a line that passes by (-9,-2) and has a slope of -4

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theleangreenbean
theleangreenbean theleangreenbean
  • 20-12-2020

Answer:

[tex]y+2=-4(x+9)[/tex]

Step-by-step explanation:

Point-slope form: [tex]y-y_1=m(x-x_1)[/tex]

We can write the equation by plugging in the x and y coordinates in the point (-9, -2).

[tex]y-y_1=m(x-x_1)\\y-(-2)=m(x-(-9))[/tex]

Two negatives make a positive

[tex]y+2=m(x+9)[/tex]

Now, we can plug in the slope, -4, as m.

[tex]y+2=m(x+9)\\y+2=-4(x+9)[/tex]

I hope this helps!

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