alyssagarza081
alyssagarza081 alyssagarza081
  • 22-01-2021
  • Mathematics
contestada

Write an equation of the line with the given slope that contains the given point.

a) Q(5,2), slope -2​

Respuesta :

xKelvin
xKelvin xKelvin
  • 22-01-2021

Answer:

[tex]y=-2x+12[/tex]

Step-by-step explanation:

We can use the point-slope form given by:

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

Where m is the slope and (x₁, y₁) is a point.

So, we will substitute -2 for m and (5, 2) for (x₁, y₁). This gives us:

[tex]y-(2)=-2(x-(5))[/tex]

Simplify:

[tex]y-2=-2(x-5)[/tex]

Distribute:

[tex]y-2=-2x+10[/tex]

Add 2 to both sides. Hence, our equation is:

[tex]y=-2x+12[/tex]

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