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  • 07-09-2020
  • Mathematics
contestada

Find an equation of the line having the given slope and containing the given point. m=8 (-4,-3)

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xKelvin
xKelvin xKelvin
  • 07-09-2020

Answer:

[tex]y=8x+29[/tex]

Step-by-step explanation:

Since we know the slope and a point, we can use the point-slope form.

The point-slope form is:

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

Substitute 8 for m, and let (-4,-3) be x₁ and y₁, respectively. Thus:

[tex]y-(-3)=8(x-(-4))[/tex]

Simplify:

[tex]y+3=8(x+4)[/tex]

Distribute:

[tex]y+3=8x+32[/tex]

Subtract 3 from both sides:

[tex]y=8x+29[/tex]

And we're done!

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