nehashah0912 nehashah0912
  • 23-05-2019
  • Mathematics
contestada

Write an equation of a line containing (2, 1) and (3, 4) in point-slope form.

Respuesta :

kudzordzifrancis
kudzordzifrancis kudzordzifrancis
  • 01-06-2019

Answer:

[tex]y-1=3(x-2)[/tex]

Or

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

Step-by-step explanation:

The slope formula is given by:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

The line containing (2, 1) and (3, 4)  has slope;

[tex]m=\frac{4-1}{3-2}=3[/tex]

The point-slope form is given by:

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

We substitute the point and slope to get:

[tex]y-1=3(x-2)[/tex]

Or

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

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