LP Format English
LP Format English
LP Format English
C. Learning Objectives:
Competencies/Objectives Illustrate the slope of a line and
Write the LC code for each Define and identify the different kinds of
slopes.
II. CONTENT Slope of a Line
III. LEARNING
RESOURCES
A. References
1. Teacher’s Guide
pages
2. Learner’s Materials Math Matters , Rex Education
pages Author: Dante S. Salazar
Mar Joseph Q. Fernandez
Talento T. Castro
(p. 100-111)
3. Textbook pages (p. 100-111)
4. Additional Materials
from Learning
Resources (LR)
portal
5. Iba pang White board, marker, TV and Laptop
kagamitang Panturo
IV. Procedures
A. Reviewing previous A. Daily routine
lesson or presenting Prayer
the new lesson B. Checking of attendance
C. Motivation
A
B
Later on, Luis is going down two hills. Which hill will
he gain more speed on?
Student:
B
A B
Vertical change
change in y
Horizontal change change in x
Try it!
The line that passes through the points:
(0,-3) and (7,-2).
Anyone?
Okay, Student1
(Students1 write the
answer on the board)
x1 = 0
y1 = -3
x2 = 7
y2 = -2
y 2− y 1
Let’s check! m=
x 2−x 1
Okay, Very good. −2−(−3) −2+3
= =
7−0 7−0
1
=
7
D. Discussing new So since you know how to get the slope, then now I
concepts and introduce to you the Four Kinds of Slope
practicing new skills The slope of a line can be positive, negative, zero or
#1 undefined.
SLOPE POSITIVE
The graph moves upward from
left to right.
SLOPE NEGATIVE
The graph moves downward
from left to right.
ZERO SLOPE
The graph of a line is horizontal.
UNDEFINED SLOPE
The graph of a line is vertical.
Examples:
Find the slope of a line passing through the given
points and draw the graph.
1. (3,5) , (-2,3)
y 2− y 1
m=
x 2−x 1
3−5 −2 2
= = =
−2−3 −5 5
Understand?
Slope-Intercept Form:
y = mx + b
where m represent the slope
b represent the y-intercept, and
x and y represent the numbers in the ordered pair.
0 = 4x + 20
-4x = 20
x = -5
This gives us an ordered pair of (-5,0). Let's plug
these two points into our slope formula. We will label
(0,20) as point 1 and (-5,0) as point 2.
Checking;
(0,20) and (-5,0)
y 2− y 1
m=
x 2−x 1
0−20 −20
= = = 4 We can see that our slope is 4
−5−0 −5
either way. Moving forward, we will place an equation
in slope-intercept form to obtain the slope since it is a
much faster approach.
Try this!
Find the slope of the line by placing the equation in
slope-intercept form.
y – 2x = -6 Solve the equation for
y:
y – 2x = -6
y = 2x – 6
slope is 2 the y-
intercept is (0,-6)
0 = 2x -6
-2x = -6
x=3
the ordered pair is (0,-
6) , (3,0)
checking:
y 2− y 1
m=
x 2−x 1
Any question or clarification? 0−(−6) 6
= = =2
3−0 3
Okay very good.
Students:
none ma’am
F. Developing mastery Find the Slope of each Line
(Leads to Formative 1. 16x – 9y = 30 1. 16x – 9y =30
Assessment 3) 2. 13x - 4y =17 -9y = -16x + 30
3. y = -18 16 10
y= x−
9 3
16
Slope =
9
2. 13x – 4y = 17
-4y = -13x + 17
13 17
y= x−
4 4
13
Slope =
4
3. y = -18
Slope = 0
Prepared by:
Kristine D. Bu~
na
Student Teacher
Checked by:
Dolores Garcia
Cooperating Teacher