1. Slope of a Line
x-axis
y-axis
XYLEE C. ALMEDILLA
Teacher II
2. At the end of the discussion the
students are expected to:
1) Describe the trends of the graph by
the value of the slope.
2) Find the slope of a line; and
3) Relate the lesson in real-life setting.
4. Plot the Points!
1. A(3,-1) and B(3,-5)
2. A(-5,1) and B(-1,1)
3. A(-5,-1) and B(-1,4)
4. A(1,4) and B(3,2)
5. Sample Situation:
When I was a child, my sister and I walked
2 kilometers each day for school. Part of that
walk included a very steep hill. One rainy day,
we were walking down the slippery hill and my
sister slipped and fell. Her school books came
out of her hands and slid all the way down the
hill and into a storm sewer. When we arrived at
school, we told our teacher about our ordeal. To
this day, I remember that very steep hill.
6. Slope
Slope - refers to the steepness of a line. It also
describes the direction of a line.
7. Guard against 0 in
the denominator
Slope
If x1 x2, the slope of the line
through the distinct points P1(x1, y1)
and P2(x2, y2) is:
1
2
1
2
x
x
y
y
x
in
change
y
in
change
run
rise
slope
m
10. Calculate the slope between (-3, 6) and (5, 2)
1
2
1
2
x
x
y
y
m
)
3
-
(
)
5
(
)
6
(
)
2
(
m
8
4
-
2
1
-
x1 y1 x2 y2
We use the letter m
to represent slope
m
11. Find the Slopes
(5, -2)
(11, 2)
(3, 9)
1
2
1
2
x
x
y
y
m
3
11
9
2
1
m
5
11
)
2
-
(
2
2
m
3
5
9
2
-
3
m
8
7
-
Yellow
3
2
Blue
Red
2
11
-
12. Find the Slopes
(5, -2)
(11, 2)
(3, 9)
1
2
1
2
x
x
y
y
m
3
11
9
2
1
m
Yellow
5
11
)
2
-
(
2
2
m
Blue
3
5
9
2
-
3
m
Red
8
7
-
3
2
2
11
-
15. Find the slope of a line!
1. A(3,-1) and B(3,-5)
2. A(-5,1) and B(-1,1)
3. A(-5,-1) and B(-1,4)
4. A(1,4) and B(3,2)
16. Ratio of my Changes!
Group 1: A(0,2) and B(1,8)
Group 2: A(-1,8) and B(-2,-5)
Group 3: A(-11,5) and B(4,5)
Group 4: A(4,7) and B(9,7)
17. Group 1: A(0,2) and B(1,8)
.
1
2
1
2
x
x
y
y
m
x1 y1 x2 y2
1 - 0 1
m = =
8 - 2 6
= 6
18. Group 2: A(-1,8) and B(-2,-5)
.
1
2
1
2
x
x
y
y
m
x1 y1 x2 y2
-2 - (-1) -1
m = =
-5 - 8 -13
= 13
-2 + 1
-5 + -8
=
19. Group 3: A(-11,5) and B(4,5)
.
1
2
1
2
x
x
y
y
m
x1 y1 x2 y2
4 - (-11) 15
m = =
5 - 5 0
= 0
4 + 11
0
=
20. Group 4: A(5,15) and B(9,12)
.
1
2
1
2
x
x
y
y
m
x1 y1 x2 y2
9 - 5
m =
12 - 15
4
-3
=
21.
22.
23.
24.
25.
26.
27.
28. Evaluate!
Direction: Find the slope of a line given
two points then graph the points in the
Cartesian Plane. Show your solutions.
1. A(-2,-4) and B(0,3)
2. A(0,3) and B(2,1)
3. A(1,1) and B(5,1)
4. A(2,4) and B(2,1)