2 2 slope of a line

2-2 Slope of a Line

What is Slope?The slope of a line is a ratio of the

change in y (rise) to the change in x (run) between any two points.

Also called “rate of change”

Describes steepness/slant of a line.◦Bigger slope means steeper line!

More about Slope!

4 types of slopes

Choose any two points:Count the change in y (rise)Count the change in x (run)Divide and reduce.

Slope from a Graph

Example:

Find the slope of the line.

Example:

Find the slope of the line.

Example:

Find the slope of the line.

Example:

Find the slope of the line.

You Try!

Find the slope of the line.

Remember:

When given two points (x, y) and (x, y)To find:◦Change in y: subtract y values◦Change in x: subtract x values

(in the same order you did the y’s!!)

Slope from Two Points

Find the slope of the line through the given points:

(-3, -1) and (3, 4)

(-1, 1) and (1, -2)

Examples

Find the slope of the line through the given points:

(-4, -1) and (2, 1)

You Try!

(1, -2) and (7, -2)

(-3, -3) and (-3, -5)

More Examples

(-1, 5) and (6, 5)

(4, 6) and (4, 2)

You Try!

Remember:

Example: The points in the table lie on a line.

Find the slope.

Slope from a Table

x 1 4 7 10y 8 6 4 2

The points in the table lie on a line. Find the slope.

Example:

x 1 3 5 7y 2 5 8 11

The points in the table lie on a line. Find the slope.

You Try!

x -3 -2 -1 0y 6 4 2 0