Question

Which is an equation in point-slope form of the line that passes through the points 4,5 and -3,-1 ?

Answer 1

Point-slope form is: y - y1 = m(x - x1)
First use the slope formula to find the slope:
-1-5 / -3-5 = -6/-8 = 6/8 = 3/4
m = 3/4
Just plug in the coordinates and the slope to the equation! :)
You only need to pick one coordinate since we have the slope. So the equation can be either of the following:

y - 5 = 3/4(x - 4)

or

y + 1 = 3/4(x + 3)

Hope this helps! :)