kelbymontalvo3
kelbymontalvo3 kelbymontalvo3
  • 03-08-2019
  • Mathematics
contestada

Write an equation of the line that passes through the point (2,3) with slope 3.

Respuesta :

gmany
gmany gmany
  • 03-08-2019

Answer:

y = 3x - 3

Step-by-step explanation:

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

[tex]y=mx+b[/tex]

m - slope

b - y-intercept

We have the slope m = 3, and the point (2, 3).

Put the value of slope and the coordinates of the given pint (x = 2, y = 3) to the equation of a line:

[tex]3=3(2)+b[/tex]

[tex]3=6+b[/tex]             subtract 3 from both sides

[tex]-3=b\to b=-3[/tex]

Finally:

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

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