Answer:
[tex]y-4=3(x-4)[/tex]
Step-by-step explanation:
Point-slope form is represented by the formula [tex]y-y_1 = m (x-x_1)[/tex]. Substitute the [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex] in the formula for real values in order to write the equation of a line in point-slope formula.
[tex]m[/tex] represents the slope, thus substitute 3 for it. [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of one point the line intersects. So, use the x and y values of the point (4,4) for the formula. Substitute 4 for [tex]x_1[/tex] and 4 for [tex]y_1[/tex]. This gives the following answer and equation in point-slope form:
[tex]y-4=3(x-4)[/tex]
