FINDING SLOPE

By Ms. Morgan

Students will be able to:

• Find the slope of a line on a coordinate plane.

Math Standard:

• 8.G.13 Determine the slope of a line from a graph and explain the meaning of slope a constant rate of change.

Do now:• Using the graphing paper, create a coordinate

plane. • Graph the following points:

Value of X

Value of Y

Pairs (X,Y)

-4 0 (-4;0)

-2 1 (-2;1)

0 2 (0;2)

4 4 (4;4)

How do we find the answer:

Value of X

Value of Y

Pairs (X,Y)

-4 0 (-4;0)

-2 1 (-2;1)

0 2 (0;2)

4 4 (4;4)

New Concept: SLOPE

• Slope is the ratio of the vertical change to the horizontal change.

Types of SLOPES:

POSITIVE (going up) NEGATIVE (going down)

Types of SLOPES cont.?

ZERO SLOPE NO SLOPE

How do we find SLOPE?

• We find SLOPE by measuring RISE OVER RUN

How do we find SLOPE cont.?

• RISE = 2 RUN = 3 SLOPE = 2/3

THIS IS A POSITIVE SLOPE

How do we find SLOPE cont.?

• RISE = 3 RUN = -2 SLOPE = -3/2

THIS IS A NEGATIVE SLOPE

On your own:USE LOOSE LEAF PAPER FOR THESE THREE PROBLEMS.

THEY WILL BE COLLECTED AND GRADED.PLEASE BE NEAT!

• Create a table and graph the following equations: • Y= 2x - 1• Y= 3x – 4

• Write down if it is a Positive or Negative SLOPE.VALUE OF X

EQUATION VALUE OF Y

(X;Y)PAIR

0

1

2

3

4

BIBLIOGRAPHY

• http://www.regentsprep.org/regents/math/algebra/AC1/Llines.htm