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  • 20-10-2020
  • Mathematics
contestada

Write the equation in point-slope
form that passes through the point (1,3) and has a slope of 1/2.

Respuesta :

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gmany gmany
  • 20-10-2020

Answer:

[tex]\huge\boxed{y-3=\dfrac{1}{2}(x-1)}[/tex]

Step-by-step explanation:

The point-slope form of an equation of a line:

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

[tex]m[/tex]- slope

[tex](x_1;\ y_1)[/tex] - point on a line

We have

[tex]m=\dfrac{1}{2};\ (1;\ 3)\to x_1=1;\ y_1=3[/tex]

Substitute:

[tex]y-3=\dfrac{1}{2}(x-1)[/tex]

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