Answer (assuming it can be in point-slope form):
[tex]y-4 = 3(x+2)[/tex]
Step-by-step explanation:
Use the point-slope formula [tex]y-y_1 = m (x-x_1)[/tex], to write the equation of the line in point-slope form. Substitute x and y values for [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex] in the formula.
Since [tex]m[/tex] represents the slope, substitute 3 for it. Since [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of a point the line intersects, take the x and y values of point P and substitute them into the equation as well. Substitute -2 for [tex]x_1[/tex] and 4 for [tex]y_1[/tex]. This gives the following answer:
[tex]y-4 = 3(x+2)[/tex]