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 2PMinds On

Determine the coordinates of the points listed below

A( )E( )F( )H( )

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?

MFM 2P

Lesson 10: Graphing and The Properties of Slope

Conclusions: