ANSWER
Therefore the correct answer is B
EXPLANATION
The equation in the point slope form of a straight line is given by the formula;
[tex]y-y_1=m(x-x_1)[/tex], where [tex]m[/tex] is the slope and the point [tex](x_1,y_1)[/tex] is any point on the line.
Since two points on the line are given, Lamont must find the slope using the points [tex](-8,5)[/tex] and [tex](-5,7)[/tex] as follows;
[tex]m=\frac{7-5}{-5--8} =\frac{7-5}{-5+8} =\frac{2}{3}[/tex].
He can now choose one of the points as [tex](x_1,y_1)[/tex].
If he uses [tex](-8,5)[/tex], the he obtains,
[tex]y-5=\frac{2}{3}(x--8)[/tex]
Which gives [tex]y-5=\frac{2}{3}(x+8)[/tex] as the equation of the line.
Therefore the correct answer is B
