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]