Question

What is the slope of the line between `(5,18)` and `(52,2 )`?

Answer 1

The slope is `-16/47`.

Explanation:

To find the slope of a line from two points, use the following equation, `m=(y_2-y_1)/(x_2-x_1)`, where `m` is the slope, `(x_1,y_1)` is one point, and `(x_2,y_2)` is the other point.

Let `(5,18)` be point 1, and `(52,2)` be point 2.

(It doesn't matter which point is which. you could easily reverse the points andl get the same answer.)

Substitute the known values into the equation and solve.

`m=(y_2-y_1)/(x_2-x_1)`

`=(2-18)/(52-5)`

Simplify.

`m=-16/47`