illustrating slope of a line

1. Quarter 2

2. Dear Lord,
As we gather here for our math
class today, We seek your
guidance and blessings along the
way. Grant us clarity of mind and a
thirst for knowledge, Help us
understand the concepts and solve
problems with courage. Amen.

4. http://tinyurl.com/
reviewgamelinear

7. gg
1. describe the slope of a line;
2. determine the slope of a line
given the equation; and
3. reflect on the relevance of the
slope of a line in real-life setting.

13. The slope, represented by 𝒎,
is defined as the ratio of the
vertical change between
two points to the horizontal
change between the same
two points.
Slope

14. The vertical change is referred
to as the rise and the horizontal
change as the run. In symbol,
𝑚 =
𝑟𝑖𝑠𝑒
𝑟𝑢𝑛

15. 1 2 3 4 5 6 7 8 9
7
6
5
4
3
2
1

16. 1 2 3 4 5 6 7 8 9
7
6
5
4
3
2
1

17. 1 2 3 4 5 6 7 8 9
7
6
5
4
3
2
1

18. 1 2 3 4 5 6 7 8 9
7
6
5
4
3
2
1

19. 1 2 3 4 5 6 7 8 9
7
6
5
4
3
2
1

21. Finding the Slope of a Line Given an Equation
Given the equation of the line written in
standard form (𝐴𝑥 + 𝐵𝑦 = 𝐶), the slope is the
ratio of the additive inverse of the
coefficient 𝐴 to coefficient 𝐵. In symbol,
𝑚 =
−𝐴
𝐵

22. Example 1
Find the slope of the equation of
the line 4𝑥 − 𝑦 = 19.

23. Example 2
Find the slope of the equation of
the line 3𝑦 = 12 + 5𝑥.

24. Example 3
In physics experiment where the
position of a projectile is given
by the equation 2𝑥 −3𝑦 =6, what
is the slope of the projectile?

25. Application
Eboy and Mak, two Dumagat
friends, are just walking going
home from school and their
home is up on the mountain. The
two friends know two paths going
home.

26. Application
The first path to home has a linear
equation of 3x = 5 + 2y and the
second path has a linear equation of
2x = 5y + 2. Which path Eboy and Mak
should take to walk home easily, if the
two paths are the same distance from
their home?

27. Find the slope of the following
linear equations.
1. 2𝑥 − 3𝑦 = 6
2. 5𝑥 = 8 + 5𝑦
3. 7 − 4𝑦 − 20𝑥 = 0
4. −9𝑥 = −3𝑦
5. 15 = 𝑥 + 11
Quiz

28. Answer Practice and Application
(Test I, 1 and 2) on page 140 of your
Exploring Math Textbook.