Question

The ___ tells how fast a line rises or falls between any two points on that line. Algebraically it is expressed as (y2 - y1)/ (x2 - x1) for the line passing through (x1, y1) and (x2, y2). Example: Commonly referred to as rise over run, change in y over change in x, or the rate of change.

Answer 1

The Slope tells you that

Answer 2

Slope

Explanation:

Since, the change in the y coordinate divided by the corresponding change in the x coordinate, between two distinct points on the line is called slope of the line,

That is, slope shows the rate of change between two points in the graph,

If
`(x_1,y_1)` and
`(x_2,y_2)` are two points from which a line passes,

Then the rate of change of the line or slope of the line is,

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

Also, change is y coordinates is called rise while the change in x -coordinates is called run.

Hence, the missing word in the given statement is Slope.