Question

What should larmont do to write a correct point slope equation for this line?

(-8,5) and (-5,7)

Answer 1

Therefore the correct answer is B

Step-by-step 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=(7-5)/(-5--8) =(7-5)/(-5+8) =(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=(2)/(3)(x--8)`

Which gives
`y-5=(2)/(3)(x+8)` as the equation of the line.

Therefore the correct answer is B