Question

What is the slope of the line passing through the following points: `(-1/3, 3/5), (-3/4, 5/3)`?

Answer 1

When you have two points lets say `A(x_A,y_A)` and `B(x_B,y_B)` the equation of the line that passes through these points is

`y-y_B=k*(x-x_B)`

where `k=(y_B-y_A)/(x_B-x_A)` is the slope of the line.

Now you can just substitute the values of the given points into the formula.Hence

`k=(5/3-3/5)/(-3/4+1/3)=(16/15)/(-5/12)=-64/25`