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Introduction To Slope EQ – What is slope and how is it related to what you already know? I will – Record and prove how slope is related to what we have.

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Presentation on theme: "Introduction To Slope EQ – What is slope and how is it related to what you already know? I will – Record and prove how slope is related to what we have."— Presentation transcript:

1 Introduction To Slope EQ – What is slope and how is it related to what you already know? I will – Record and prove how slope is related to what we have already learned.

2 Slope is a measure of Steepness.
EQ – What is slope and how is it related to what you already know? I will – Record and prove how slope is related to what we have already learned.

3 Types of Slope Zero Negative Positive Undefined or No Slope
EQ – What is slope and how is it related to what you already know? I will – Record and prove how slope is related to what we have already learned.

4 Slope is sometimes referred to as the “rate of change”
between 2 points. EQ – What is slope and how is it related to what you already know? I will – Record and prove how slope is related to what we have already learned.

5 used to represent slope.
The letter “m” is used to represent slope. Why? EQ – What is slope and how is it related to what you already know? I will – Record and prove how slope is related to what we have already learned.

6 If given 2 points on a line, you may find the slope using the
formula m = y2 – y1 x2 – x1 EQ – What is slope and how is it related to what you already know? I will – Record and prove how slope is related to what we have already learned.

7 What is ∆ ? The formula may sometimes be written as m =∆y . ∆x
EQ – What is slope and how is it related to what you already know? I will – Record and prove how slope is related to what we have already learned.

8 Find the slope of the line through the points (3,7) and (5, 19). x1 y1
m = 19 – 7 5 – 3 m = 12 2 m = 6 EQ – What is slope and how is it related to what you already know? I will – Record and prove how slope is related to what we have already learned.

9 (3, 4) and (-6, -2) m = -2 – 4 -6 – 3 m = -6 -9 m = ⅔
EQ – What is slope and how is it related to what you already know? I will – Record and prove how slope is related to what we have already learned.

10 What if the numerator is 0? denominator is 0?
EQ – What is slope and how is it related to what you already know? I will – Record and prove how slope is related to what we have already learned.

11 If given an equation of a line, there are 2 ways to find the
slope and y-intercept. EQ – What is slope and how is it related to what you already know? I will – Record and prove how slope is related to what we have already learned.

12 One method is to write the equation in slope-intercept form,
which is y = mx + b. slope y-intercept EQ – What is slope and how is it related to what you already know? I will – Record and prove how slope is related to what we have already learned.

13 y = 3x + ½ Find the slope and y-intercept of the following equations.
EQ – What is slope and how is it related to what you already know? I will – Record and prove how slope is related to what we have already learned. y-intercept = ½

14 First, solve the equation for y.
3x + 5y = 10 First, solve the equation for y. 3x + 5y = 10 5y = -3x + 10 y = -3/5 x + 2 EQ – What is slope and how is it related to what you already know? I will – Record and prove how slope is related to what we have already learned. m= -3/5 b = 2

15 is to write the equation
Another method to find the slope if given an equation of a line is to write the equation in the form Ax + By = C. m = -A/B, b = C/B EQ – What is slope and how is it related to what you already know? I will – Record and prove how slope is related to what we have already learned.

16 Find the slope and y-intercept of the following equations.
B C EQ – What is slope and how is it related to what you already know? I will – Record and prove how slope is related to what we have already learned. 8x + 11y = 7 m= -8/11 b = 7/11

17 First, rewrite the equation in
-6x = 2y + 14 First, rewrite the equation in the form Ax + By = C. -6x - 2y = 14 EQ – What is slope and how is it related to what you already know? I will – Record and prove how slope is related to what we have already learned. m= 6/-2 b = 14/-2 m= -3 b = -7

18 If given the graph of a line, find the slope by using the
“triangle” method to find the rise over run. EQ – What is slope and how is it related to what you already know? I will – Record and prove how slope is related to what we have already learned.

19 rise = 4 m= rise run run = 5 m= 4/5

20 The End


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