Question

What is the equation of the line between `(5,13)` and `(-1,3)`?

Answer 1

the equation of a line passing through 2 points `(x_1,y_1),(x_2,y_2)` is given as:

`y-y_1=m(x-x_1)`

`and m=(y_2-y_1)/(x_2-x_1)` called the slope of the line

therefore putting the given points in the above equation we end up getting:
`m=(3-13)/(-1-5)=5/3`

`y-13=(5/3)x-5`

`5x-3y+14=0`