angeloelias2006 angeloelias2006
  • 02-09-2020
  • Mathematics
contestada

Write an equation that has a slope of 2 and goes through the point (2, 1).

Respuesta :

xKelvin
xKelvin xKelvin
  • 02-09-2020

Answer:

[tex]y=2x-3[/tex]

Step-by-step explanation:

When given the slope and a point and we are asked to find the equation of the line, we can use the point-slope form.

The point-slope form is:

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

Let's let m be 2 and let (2,1) be x₁ and y₁. Thus:

[tex]y-1=2(x-2)[/tex]

Distribute the right:

[tex]y-1=2x-4[/tex]

Add 1 to both sides:

[tex]y=2x-3[/tex]

And that's our equation.

And we're done!

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