I can find the slope of a line from a table or graph.

4.1 Understanding Slope

Shows the relationship between two changing quantities.

The larger the absolute value of the rate of change, the steeper the line.

Rate of Change

Is the rate of change found in this table constant?

Rate of change =

What does this represent?

The distance the band marches per minute.

Using a Table

When data are linear, the rate of change is constant.

Rate of change is the ratio of vertical change (rise) to horizontal change (run) between two points on a line.

Rate of change is also called slope

Slope

What is the slope of the line?

slope = =

A “run” to the right is

positive and a “run to

the left is negative

slope =

Using a Graph

Pick two points on a line, (x1, y1) and (x2, y2)

Then use the slope formula:

Slope Formula

What is the slope of the line through (-1, 0) and (3, -2)

Slope =

Slope =

Using Points

Slopes