Respuesta :

Answer:

The equation of the line with slope = 3 and point (5, 14)

will be:

  • [tex]y=3x-1[/tex]

Step-by-step explanation:

Given

slope = m = 3

point = (5, 14)

As the point-slope form of the equation of the line is

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

where m is the slope.

substituting the values m = 3 and the point (5, 14)

[tex]y-14=3\left(x-5\right)[/tex]

Add 14 to both sides

[tex]y-14+14=3\left(x-5\right)+14[/tex]

[tex]y=3x-1[/tex]

Therefore, the equation of the line with slope = 3 and point (5, 14)

will be:

[tex]y=3x-1[/tex]