Respuesta :

For this case we have that by definition, the equation of the line of the point-slope form is given by:

[tex]y-y_ {0} = m (x-x_ {0})[/tex]

Where:

m: It's the slope

[tex](x_ {0}, y_ {0}):[/tex]It is a point through which the line passes

According to the given statement we have:

[tex](x_ {0}, y_ {0}) :( 1,4)\\m = 3[/tex]

Substituting we have:

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

Finally, the equation is:

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

Answer:

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