joselynzp14 joselynzp14
  • 22-09-2021
  • Mathematics
contestada

Find the equation of a line with slope 1/2 through the point (10,12)

Respuesta :

Hrishii
Hrishii Hrishii
  • 22-09-2021

Answer:

[tex] x-2y+14=0[/tex]

Step-by-step explanation:

[tex] Slope \:( m) =\frac{1}{2} [/tex]

[tex] (x_1 \:y_1) =(10, \:12)[/tex]

Equation of line in point slope form is given as:

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

Plugging the values of m and [tex] (x_1 \:y_1) [/tex], we find:

[tex] y-12=\frac{1}{2} (x-10) [/tex]

[tex] 2y-24=x-10[/tex]

[tex] 0=x-10-2y+24[/tex]

[tex] x-2y+14=0[/tex]

This is the required equation of line.

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