Transcript Slope PowerPoint

What is the meaning of this
sign?
1.
2.
3.
4.
Icy Road Ahead
Steep Road Ahead
Curvy Road Ahead
Trucks Entering
Highway Ahead
Slope
Integrated Mathematics
The student will be able to:
find the slope of a line
given 2 points and a
graph.
Objective
Slope
• The steepness of a line.
Circle the line with the biggest slope…
• The letter we use for slope is a lowercase
m
• Because it comes from the French word
monter which means to climb or to rise.
SLOPE
Run: the change in the xcoordinates.
• In the diagram as we move
from P to Q the change in
the x is 2 to 6.
Rise: the change in the ycoordinate.
• In the diagram as we move
from P to Q the change in
the y is 1 to 3.
RUN
RISE
P (2, 1)
Q (6, 3)
Ex.1) Find the slope.
Ex.2) Find the slope.
Find the slope of the following lines!
Slope Formula
𝒓𝒊𝒔𝒆 𝒅𝒊𝒇𝒇𝒆𝒓𝒆𝒏𝒄𝒆 𝒐𝒇 𝒚 − 𝒄𝒐𝒐𝒓𝒅𝒊𝒏𝒂𝒕𝒆𝒔
𝑺𝒍𝒐𝒑𝒆 𝒎 =
=
𝒓𝒖𝒏
𝒅𝒊𝒇𝒇𝒆𝒓𝒆𝒏𝒄𝒆 𝒐𝒇 𝒙 − 𝒄𝒐𝒐𝒓𝒅𝒊𝒏𝒂𝒕𝒆
𝒚𝟐 − 𝒚𝟏
𝑺𝒍𝒐𝒑𝒆 𝒎 =
𝒙𝟐 − 𝒙𝟏
Find the Slope
Ex.3) 𝟐, 𝟐 𝟖, 𝟗
Ex.4) −𝟒, −𝟔 𝟑, −𝟐
Find the Slope
Ex.5) −𝟐, 𝟑 𝟐, 𝟏
Ex.6) 𝟓, −𝟏𝟏 (−𝟗, 𝟒)
Try These
1) 𝟔, 𝟐 𝟖, −𝟐
2) −𝟒, 𝟑 𝟎, 𝟒
3) 𝟎, −𝟐 (𝟑, 𝟒)
4) −𝟓, 𝟓 (𝟏𝟐, −𝟒)
Horizontal and Vertical Lines
Ex. 7) Find the slope.
Horizontal and Vertical Lines
Ex.8) Find the slope.
Horizontal and Vertical Lines
• Any HORIZONTAL line has a slope of
0!
• Any VERTICAL line has no slope
(undefined)!
Try These
• Find the slopes, if they exist.
1. 𝟗, 𝟕 𝟑, 𝟕
2. 𝟒, −𝟔 𝟒, 𝟎
3. 𝟐, 𝟒 (−𝟏, 𝟓)