Question

How do you write an equation of the line in point slope form with (-5,-4) (7,-5)?

Answer 1

`y+4=-1/12(x+5)`

Explanation:

I would use the relationship:
Slope `m=(y_2-y_1)/(x_2-x_1)`

Using the coordinates of your points you have:

`x_1=-5`
`y_1=-4`

`x_2=7`
`y_2=-5`

`m=(-5-(-4))/(7-(-5))=-1/12`

Using the coordinates of your first point and the relationship:
`y-y_1=m(x-x_1)` you get:
`y-(-4)=-1/12(x-(-5))`
`y+4=-1/12(x+5)`