MFM 2PMinds On
Plot the following points:
• (5, 7)
• (-2, 3)
• (-10, 0)
• (-8, -5)
• (0, 6)
Using either a whiteboard or graph paper, draw the Cartesian Plane and plot these points
MFM 2P
Lesson 10: Graphing and The Properties of Slope
Learning Goals:
I can graph a line in the form y = mx + b
I can identify if a slope is positive or negative
I know the characteristics of parallel slopes
MFM 2P
Lesson 10: Graphing and The Properties of Slope
If you are given an equation in this form:
Y = mx + b
m is your slope ()
b is you y-intercept (the point where your line crosses the y-axis
MFM 2P
Lesson 10: Graphing and The Properties of Slope
For example:Y = 2x + 4
2 is your slope ()
4 is you y-intercept (the point where your line crosses the y-axis
MFM 2P
Lesson 10: Graphing and The Properties of Slope
For example:Y = x - 10
is your slope ()
-10 is you y-intercept (the point where your line crosses the y-axis
MFM 2P
Lesson 10: Graphing and The Properties of Slope
Now you try: Identify the slope, rise, run, and the y-intercept from the following equations:
y = 3 – 7 Slope: Rise: Run: y-Intercept:
y = + 2 Slope: Rise: Run: y-Intercept
y = - – 4 Slope: Rise: Run: y-Intercept:
MFM 2PLesson 10: Graphing and The Properties of
SlopeWe can use this information to graph lines. 1. Start by plotting the y-intercept
(b).2. Count up or down for the rise and
then right for the run and make another point
3. Continue counting for the rise and run and making additional points
4. Connect points with a liney = 3 – 7
Slope: 3Rise: 3Run: 1y-Intercept: -7
MFM 2PLesson 10: Graphing and The Properties of
Slope
y = + 2 Slope: Rise: 3Run: 2y-Intercept: 2
We can use this information to graph lines. 1. Start by plotting the y-intercept
(b).2. Count up or down for the rise and
then right for the run and make another point
3. Continue counting for the rise and run and making additional points
4. Connect points with a line
MFM 2PLesson 10: Graphing and The Properties of
Slope
y = - – 4 Slope: Rise: -1Run: 2y-Intercept: -4
We can use this information to graph lines. 1. Start by plotting the y-intercept
(b).2. Count up or down for the rise and
then right for the run and make another point
3. Continue counting for the rise and run and making additional points
4. Connect points with a line
MFM 2P
Lesson 10: Graphing and The Properties of Slope
Things to remember when graphing lines:
•Always start by plotting your y - intercept (b)
• If there is no “b” in your equation, b = 0
• If the slope is negative go DOWN from the previous point(instead of up) and then over to the RIGHT.
• If there is no “x”, m = 0
• If there is an x with no number, m = 1
MFM 2P
Lesson 10: Graphing and The Properties of Slope
Complete worksheet #1 – Graphing Lines
When you are finished, bring it in to get it checked.
Then get worksheet #2 – Properties of Slope
MFM 2P
Lesson 10: Graphing and The Properties of Slope
Conclusions:
What was the same about your graphs with positive slopes?
MFM 2P
Lesson 10: Graphing and The Properties of Slope
Conclusions:
What was the same about your graphs with negative slopes?
MFM 2P
Lesson 10: Graphing and The Properties of Slope
Conclusions:
What was the same about the two equations paired together in “e”? In “f”?
What was the same about their graphs?