Question

Which equation is a point slope form equation for line AB?​

Answer 1

`y + 1 = (2)/(3)(x+2)`

Explanation:

A line in point slope form is defined as:

`y - b = m(x - a)`

where
`(a,b)` is a point on the line and
`m` is its slope.

We can determine the line's slope using the given points A and B.

`m = \frac{\textrm{rise}}{\textrm{run}} = (6)/(8) = (2)/(3)`

Then, construct the equation using point
`A(-2, -1)`.

`y-(-1) =(2)/(3)(x-(-2))`

`y + 1 = (2)/(3)(x+2)`