Question

What should larmont do to write a correct point slope equation for this line? (-8,5) and (-5,7)

Answer 1

ANSWER

Therefore the correct answer is B

EXPLANATION

The equation in the point slope form of a straight line is given by the formula;

$y-y_1=m(x-x_1)$, where $m$ is the slope and the point $(x_1,y_1)$ is any point on the line.

Since two points on the line are given, Lamont must find the slope using the points $(-8,5)$ and $(-5,7)$ as follows;

$m=\frac{7-5}{-5--8} =\frac{7-5}{-5+8} =\frac{2}{3}$.

He can now choose one of the points as $(x_1,y_1)$.

If he uses  $(-8,5)$, the he obtains,

$y-5=\frac{2}{3}(x--8)$

Which gives $y-5=\frac{2}{3}(x+8)$ as the equation of the line.

Therefore the correct answer is B