Properties of the Graph of a Linear Equation It includes different activities and assessment to students. Properties are discussed in here.

1. PROPERTIES
OF THE GRAPH
OF A LINEAR
EQUATION
P R E PA R E D A N D D E M O N S T R AT E D B Y :
FAT I M A E . C U R VA
M T – I I

2. OBJECTIVES:
•Describe the graph of a
linear equation in terms of
its intercepts and slope.
(M8 AL – 1f – 3)

3. MIND EXERCISE

4. MIND EXERCISE
DIRECTION: Find the appropriate word for the statement
below diagonally, horizontally, and vertically.
X – I N T E R C E P T
C O O R D I N A T E
S A N E G A T I V E
F L U N D E F I N E
P R O D O M A I N O
G R A P H I N G E R
Y – I N T E R C E P T
1. The ABSCISSA of the
coordinates of the point in
which the graph intersects
the x – axis.
2. The ORDINATE of the
coordinates of the point in
which the graph intersects
the y – axis.
3. It can be computed by
finding the quotient of the
rise and run.
4. Lines with positive slope rise
to the right while lines with
negative slope fall to the
right.

5. ACTIVITY 1

6. DIRECTION: Graph each linear equation that passes
through the given pair of points.
1.(2, 0) and (0, 1)
2. −𝟎. 𝟓, 𝟎 and (0, -2)
3.(4, 0) and (0, -3)
4. −
𝟑
𝟐
, 𝟎 and (0, 3)

7. 1.
4.
3.
2.

8. 1. What is common to the four graphs?
The four graphs intersect the x and y
axes.
2. What is the x and y intercept of each graph?
1. x – intercept = 2 y – intercept = 1
2. x – intercept = -1/2 y – intercept = -2
3. x – intercept = 4 y – intercept = -3
4. x – intercept = -3/2 y – intercept = 3

9. 3. Determine the slope of each line.
1. m = -1/2
2. m = -4
3. m = ¾
4. m = 2
4. Give the trend of each graph.
1. decreasing
2. decreasing
3. Increasing
4. increasing

10. ACTIVITY 2

11. DIRECTION: Given the graph of the linear equation,
describe the x and y – intercepts, slope, and trend. Use
the table below.
GRAPH NO. X – intercept Y – intercept Slope
Trend
(increasing/decreasing
1
2
3
4
3/2 or 1.5 3 -2 decreasing
-2 4 2 increasing
½ or 0.5 -2 4 increasing
-3 -3 -1 decreasing
1.
2.
3.
4.

12. DIRECTION: Describe the x and y – intercepts, slope, and trend of the
graph.
a. b.
X – intercept:
Y – intercept:
Slope:
Trend:
-4
5
5/4
increasin
g X – intercept:
Y – intercept:
Slope:
Trend:
-2
-3/2
-3/4
decreasin
g

13. DIRECTION: Describe the x and y – intercepts, slope, and trend of the
graph.
1.
b.
X – intercept:
Y – intercept:
Slope:
Trend:
2
-1/2
1/4
increasin
g X – intercept:
Y – intercept:
Slope:
Trend:
5
4
-4/5
decreasin
g
QUIZ

14. ASS:
GRAPH THE FOLLOWING LINEAR EQUATION THAT PASSES THROUGH THE
GIVEN POINTS THEN DESCRIBE ITS X AND Y INTERCEPTS, SLOPE, AND TREND.
1. (-1/2, 0) and (0, ¼)
2. (2.5, 0) and (0, 1.5)

15. THANK YOU 