Graphing math myp3 reading and interpreting

READING AND INTERPRETING
GRAPHS
Echo
20230403

GRAPHING
Translate
Numbers or formulas

GRAPHING STORIES
Sketch a distance graph from this story:
1. Starting from home, Jack rides his
motorcycle to the lake,
2. Then turns around and returns home,
3. Stopping for gas on the return trip.
Time
Distance from home

GRAPHING STORIES
Sketch a distance graph from this story:
1. Billy leaves home and goes to school
2. He arrives school and remembers it’s
Saturday so he goes home
3. Once home Billy goes to play to
basketball at the park (nearby his home)
4. He plays basketball for a while then go
home.
Time
Distance from home
10km
3km

GRAPHING STORIES
Story about 100m race competition

MATCHING A GRAPH TO A STORY
Alison walked from her school's Commons area to her Math class. After class, she walked
back to the Commons area, stopping to get a candy bar from a vending machine on the
way.

MATCHING A GRAPH TO A STORY
A B
C D

COORDINATE PLANE
Number lines
A two-dimension surface formed by two number lines.
x-axis
y-axis
origin

COORDINATE PLANE
Coordinates of points (x,y):
set of number that determines the
location of the point
(5,6)

COORDINATE PLANE
Practice:
Work out the coordinates for point B to F.
(-5,5)
(-2,3)
(-2,-3) (3,-4)
(2,-6)

COORDINATE PLANE
Plot the following points:
• A (3,4)
• B(-5,6)
• C(-3,-9)
• D(4,-5)

COORDINATE CODES
• Which points on the line y=3x+4
A. (3,4)
B. (1,5)
C. (-1,1)
D. (0,4)
E. (-2,-2)

PLOTTING GRAPHS
• Plot y=3x+2
Step 1: build x/y table
Step 2: plot each points in coordinate
plane
Step 3: connect the points together
-10 -7 -4 -1 2 5 8 11
Y=3x+2

PLOTTING GRAPHS
• Plot y=-2x+3
x
y

PLOTTING GRAPHS
• Plot y=3x-5
x
y

EQUATION OF A LINE
• The gradient of a line shows how steep the straight line is.
• In general equation of a straight line is y=mx+c, m is gradient.
Gradient =
Change in y
÷ change in x Change in y
Change in x

EQUATION OF A LINE
• Y-intercept of a line shows where the line crosses y-axis
• In general equation of a straight line is y=mx+c, c is y-intercept of the line.
C= -1
Equation of the line =
𝟏
𝟐
𝒙 − 𝟏

1. What is the gradient of this line?
2. What is the y-intercept of the line?
3. What is the equation of the line?
(0,4)
(1,1)
Gradient of line= 4 ÷ (-1)= -4
Y-intercept = 4
Y=mx+c
Y=-4x+4
EQUATION OF A LINE

EQUATION OF A LINE
1. What is the gradient of this line?
2. What is the y-intercept of the line?
3. What is the equation of the line?
Gradient of line= (6-(-2))/(2-(-2))=
8 ÷ 4= 2
Y-intercept = 2
Y=mx+c
Y=2x+2

EQUATION OF A LINE
• Which lines have positive gradient and which
lines have negative gradient?

EQUATION OF A LINE
• What are the equation of line A,B and C?

EQUATION OF A LINE
• What is the equation of a line crossing
(2,4) and (-2,5)?
• Plot the line

EQUATION OF A LINE
• What is the equation of a line
crossing (-1,4) and (2,6)?
• Plot the line

HOW GRADIENTS AFFECT THE STRAIGHT
LINE
y=mx+c
The gradient of a line is the measure of the steepness of a
straight line.
Steep vs. Shallow

GRADIENTS DETERMINE HOW STEEP THE
STRAIGHT LINE
y=mx+c
straight line.
Steep vs. Shallow

STRAIGHT LINE
y=mx+c
straight line.
Line A
Line B
Line C
1. Which line is the steepest? Which line is the shallowest?
2. Find the gradient of each lines?
3. What trend can you see between steepness and gradient?
Line Steepness Point 1
coordinate
Point II
coordinate
Gradient Y-intercept Formula of the line
A
B
C

STRAIGHT LINE
y=mx+c
straight line.
Line A
Line B
Line C
1. Which line is the steepest? Which line is the shallowest?
2. Find the gradient of each lines?
3. What trend can you see between steepness and gradient?
Line Steepness Point 1
coordinate
Point II
coordinate
Gradient Y-intercept Formula of the line
A Steepest (0,0) (1,2)
B Middle (0,0) (4,3)
C Shallowest (0,0) (8,2)

PARALLEL LINES
• Parallel lines are straight lines with a constant distance between them.
• They have the same gradients.

PARALLEL LINES
• Line A and B are parallel. The equation
for line A is y=x+4,and line B crossing
point (0,7).
• Find the equation B.

SUMMARY
• Graphing stories and interpret graphs in real-life situation
• Coordinate plane components: coordinates, x-axis, y-axis, origin
• Finding coordinate for points
• Plotting graphs for given line equation
• Equation of a line: gradient and y-intercept
• Finding equation of a line given any two points
• Parallel lines: lines with same gradient

Graphing math myp3 reading and interpreting

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