Friday 31 January 2025
Horizontal and Vertical
Straight Line Graphs
Q Centre
1
2
3
4
5
6
7
8
9
𝐷 𝐶
𝐵
𝐴
Point is always
opposite point :
But the square
could change
orientation:
𝐷
𝐶
𝐵
𝐴
The points are
always read
anti-clockwise
around the
square
Starter
Friday 31 January 2025
Horizontal and Vertical
Straight Line Graphs
Q Centre
1
2
3
4
5
6
7
8
9
𝐷 𝐶
𝐵
𝐴
Point is always
opposite point :
But the square
could change
orientation:
𝐷
𝐶
𝐵
𝐴
The points are
always read
anti-clockwise
around the
square
Answers
Friday 31 January 2025
Horizontal and Vertical
Straight Line Graphs
Answers
1 2 3
4 5 6
7 8 9
Friday 31 January 2025
Horizontal and Vertical
Straight Line Graphs
Horizontal Straight Lines
Here is a horizontal straight line graph
drawn on axes.
The points (0,5), (1,5), (2,5), (3,5), (4,5)
and (5,5) are on the line.
They have the same -value of 5
Therefore the line is called
Horizontal Lines parallel to the
-axis have points whose -
values are all the same.
Friday 31 January 2025
Horizontal and Vertical
Straight Line Graphs
Vertical Straight Lines
Here is a vertical straight line graph
drawn on axes.
The points (3,1), (3,2), (3,3), (3,4), (3,5)
and (3,6) are on the line.
They have the same -value of 3
Therefore the line is called
Vertical Lines parallel to the -
axis have points whose -values
are all the same.
Friday 31 January 2025
Horizontal and Vertical
Straight Line Graphs
Horizontal
Parallel to the -axis
Vertical
Parallel to the -axis
𝑥=3 𝑦=2 𝑥=0 𝑦=7 𝑥=1 𝑦=0
𝑦=3 𝑥=5
Put the following equations into the right column.
Friday 31 January 2025
Horizontal and Vertical
Straight Line Graphs
Write the equations for each of these lines.
A
F
E D
C
B
A:
Answers
B:
C:
D:
E:
F:
Friday 31 January 2025
Horizontal and Vertical
Straight Line Graphs
Sketch the following graphs on the
same set of axes.
A
F
E D
C
B
A:
Answers
B:
C: 3
D:
E:
F:
Friday 31 January 2025
Horizontal and Vertical
Straight Line Graphs
True /
False
True /
False
True /
False
True /
False
True /
False
True /
False
True /
False
True /
False
True /
False
𝑦 =2
𝑥 =0
𝑥 =0
𝑥 =2
𝑥 = 4
𝑦 =1
𝑥 =2
𝑦 =2
𝑦 =0
Friday 31 January 2025
Horizontal and Vertical
Straight Line Graphs
True /
False
True /
False
True /
False
True /
False
True /
False
True /
False
True /
False
True /
False
True /
False
𝑦 =2
𝑥 =0
𝑥 =0
𝑥 =2
𝑥 = 4
𝑦 =1
𝑥 =2
𝑦 =2
𝑦 =0
Friday 31 January 2025
Horizontal and Vertical
Straight Line Graphs
Write down the equation of the two missing lines needed to complete these
squares.
Friday 31 January 2025
Horizontal and Vertical
Straight Line Graphs
Answers
Friday 31 January 2025
Horizontal and Vertical
Straight Line Graphs
Task
1. Write the function that is parallel to and goes through the coordinate
2. Write the function that is parallel to and goes through the coordinate
3. Write the function that is a reflection of in the -axis
4. Write the function that is a reflection of in the -axis
5. Write the function that is a reflection of in the -axis
6. Write the function when is translated right three units
7. Write the function when is translated down four units
8. Write the function when is translated two units up
Friday 31 January 2025
Keywords
Positive, negative, substitute, coordinates, straight line, gradient, slope,
simultaneous, intersection, intercept
Lesson
Objectives:
Developing
students will be
able to identify the
gradient and -
intercept in a linear
equation.
Secure students
will be able to
sketch a linear
equation using the
gradient and -
intercept.
Excelling students
will be able to
rearrange
equations to
determine the
gradient and -
intercept.
Sketching Straight Line Graphs
(using and )
3 things you knew already
2 things you
learnt today
1 question about
today’s topic

Linear graphs horizontal vertical PixiPPt.pptx

  • 1.
    Friday 31 January2025 Horizontal and Vertical Straight Line Graphs Q Centre 1 2 3 4 5 6 7 8 9 𝐷 𝐶 𝐵 𝐴 Point is always opposite point : But the square could change orientation: 𝐷 𝐶 𝐵 𝐴 The points are always read anti-clockwise around the square Starter
  • 2.
    Friday 31 January2025 Horizontal and Vertical Straight Line Graphs Q Centre 1 2 3 4 5 6 7 8 9 𝐷 𝐶 𝐵 𝐴 Point is always opposite point : But the square could change orientation: 𝐷 𝐶 𝐵 𝐴 The points are always read anti-clockwise around the square Answers
  • 3.
    Friday 31 January2025 Horizontal and Vertical Straight Line Graphs Answers 1 2 3 4 5 6 7 8 9
  • 4.
    Friday 31 January2025 Horizontal and Vertical Straight Line Graphs Horizontal Straight Lines Here is a horizontal straight line graph drawn on axes. The points (0,5), (1,5), (2,5), (3,5), (4,5) and (5,5) are on the line. They have the same -value of 5 Therefore the line is called Horizontal Lines parallel to the -axis have points whose - values are all the same.
  • 5.
    Friday 31 January2025 Horizontal and Vertical Straight Line Graphs Vertical Straight Lines Here is a vertical straight line graph drawn on axes. The points (3,1), (3,2), (3,3), (3,4), (3,5) and (3,6) are on the line. They have the same -value of 3 Therefore the line is called Vertical Lines parallel to the - axis have points whose -values are all the same.
  • 6.
    Friday 31 January2025 Horizontal and Vertical Straight Line Graphs Horizontal Parallel to the -axis Vertical Parallel to the -axis 𝑥=3 𝑦=2 𝑥=0 𝑦=7 𝑥=1 𝑦=0 𝑦=3 𝑥=5 Put the following equations into the right column.
  • 7.
    Friday 31 January2025 Horizontal and Vertical Straight Line Graphs Write the equations for each of these lines. A F E D C B A: Answers B: C: D: E: F:
  • 8.
    Friday 31 January2025 Horizontal and Vertical Straight Line Graphs Sketch the following graphs on the same set of axes. A F E D C B A: Answers B: C: 3 D: E: F:
  • 9.
    Friday 31 January2025 Horizontal and Vertical Straight Line Graphs True / False True / False True / False True / False True / False True / False True / False True / False True / False 𝑦 =2 𝑥 =0 𝑥 =0 𝑥 =2 𝑥 = 4 𝑦 =1 𝑥 =2 𝑦 =2 𝑦 =0
  • 10.
    Friday 31 January2025 Horizontal and Vertical Straight Line Graphs True / False True / False True / False True / False True / False True / False True / False True / False True / False 𝑦 =2 𝑥 =0 𝑥 =0 𝑥 =2 𝑥 = 4 𝑦 =1 𝑥 =2 𝑦 =2 𝑦 =0
  • 11.
    Friday 31 January2025 Horizontal and Vertical Straight Line Graphs Write down the equation of the two missing lines needed to complete these squares.
  • 12.
    Friday 31 January2025 Horizontal and Vertical Straight Line Graphs Answers
  • 13.
    Friday 31 January2025 Horizontal and Vertical Straight Line Graphs Task 1. Write the function that is parallel to and goes through the coordinate 2. Write the function that is parallel to and goes through the coordinate 3. Write the function that is a reflection of in the -axis 4. Write the function that is a reflection of in the -axis 5. Write the function that is a reflection of in the -axis 6. Write the function when is translated right three units 7. Write the function when is translated down four units 8. Write the function when is translated two units up
  • 14.
    Friday 31 January2025 Keywords Positive, negative, substitute, coordinates, straight line, gradient, slope, simultaneous, intersection, intercept Lesson Objectives: Developing students will be able to identify the gradient and - intercept in a linear equation. Secure students will be able to sketch a linear equation using the gradient and - intercept. Excelling students will be able to rearrange equations to determine the gradient and - intercept. Sketching Straight Line Graphs (using and ) 3 things you knew already 2 things you learnt today 1 question about today’s topic

Editor's Notes

  • #1 Source: VariationTheory.com
  • #2 Source: VariationTheory.com
  • #3 Source: VariationTheory.com
  • #4 Source: MathsbyFintan on TES
  • #5 Source: MathsbyFintan on TES
  • #6 Source: MathsbyFintan on TES
  • #7 Source: MathsbyFintan on TES
  • #8 Source: MathsbyFintan on TES
  • #9 Source: VariationTheory.com
  • #10 Source: VariationTheory.com
  • #13 Source: MathsbyFintan on TES