Question

How do you write an equation of a line in point slope form passing through the points (5, -1) (-3, 4)?

Answer 1

For a straight line the slope is the same no matter which pair of points on the line you use.

Using a variable point `(x,y)` and the two fixed points we could equate two expressions for the slope:
`(y-(-1))/(x-5) = (4-(-1))/(-3-5)`

which simplifies as
`y+1 = (-5/8)(x-5)`