Respuesta :

mhanifa

Answer:

  • The equation of the line is: [tex]y=2x-1[/tex]

Step-by-step explanation:

Given

  • Two points on same line: (2, 3) and (5, 9)

To find

  • The equation of the line

Solution

Find the slope of the line by formula:

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

Substitute and calculate:

  • [tex]m=\cfrac{9-3}{5-2} =\cfrac{6}{3}=2[/tex]

Use point-slope equation to determine the line:

  • [tex]y-y_1=m(x-x_1)[/tex]

Substitute and find:

  • [tex]y-3=2(x-2)[/tex]
  • [tex]y-3=2x-4[/tex]
  • [tex]y=2x-4+3[/tex]
  • [tex]y=2x-1[/tex]

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