Answer (assuming it can be in point-slope form):
[tex]y-7 = 6(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. All you need to do is substitute [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex] for real values.
Since [tex]m[/tex] represents the slope, substitute 6 in its place. Since [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of one point the line intersects, take the x and y values of (2,7) and substitute them into the formula as well. So, substitute 2 for [tex]x_1[/tex] and 7 for [tex]y_1[/tex]. This gives the following equation and answer:
[tex]y-7 = 6(x-2)[/tex]