Question

What is the equation of the line between `(5,13)` and `(-31,22)`?

Answer 1

`y=-1/4(x-5)+13=-1/4x+57/4`.

Explanation:

The line containing the points `(x_1,y_1)=(5,13)` and `(x_2,y_2)=(-31,22)` has slope `(y_2-y_1)/(x_2-x_1)=(22-13)/(-31-5)=9/(-36)=-1/4`.

Since it contains the point `(x_1,y_1)=(5,13)`, this implies its equation can be written as `y=-1/4(x-5)+13=-1/4x+57/4`.