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Coordinate Geometry in GCSE Mathematics: A Comprehensive Guide
This guide covers essential concepts in coordinate geometry for GCSE exams, including coordinates, gradients, midpoints, distance, straight lines, and perpendicular lines. It provides detailed explanations, formulas, and worked examples to help students master these topics.
10/06/2022
573
This section focuses on drawing graphs coordinate geometry GCSE questions and answers.
The page outlines different approaches to drawing straight line graphs:
Example: A detailed worked example shows how to draw the lines y = 3x - 1 and 5x - 3y = 15 on the same set of axes.
The step-by-step process for plotting these lines is explained, including finding intercepts and using the gradient to plot additional points.
This page covers the concept of perpendicular lines in GCSE coordinate geometry questions and answers.
Definition: Perpendicular lines are lines that intersect at a right angle (90°).
The relationship between the gradients of perpendicular lines is explained:
Highlight: For two lines to be perpendicular, the product of their gradients must equal -1: m₁ × m₂ = -1.
The page includes a detailed worked example:
Example: Given a line with equation y = 2x + 2, find the equation of a perpendicular line passing through the point (2, -3).
The solution demonstrates how to:
This comprehensive guide provides students with the necessary tools to tackle GCSE coordinate geometry exam questions confidently.
This page introduces fundamental concepts in coordinate geometry GCSE questions and answers.
The page explains how to work with coordinates and calculate gradients between two points.
Definition: The gradient between two points (x₁, y₁) and (x₂, y₂) is calculated using the formula: (y₂ - y₁) / (x₂ - x₁).
Example: For points (-3, 5) and (2, 8), the gradient would be (8 - 5) / (2 - (-3)) = 3/5.
The concept of midpoint and distance between two points is introduced.
Highlight: The distance between two points is found using the Pythagorean theorem: √[(x₂ - x₁)² + (y₂ - y₁)²].
The page covers the general equation of a straight line: y = mx + c.
Vocabulary: In the equation y = mx + c, 'm' represents the gradient, and 'c' is the y-intercept.
A worked example demonstrates how to find the equation of a line parallel to y = 4x + 5 passing through the point (-2, 5).
1
168
12/12
AS Level Edexcel Mathematics - Chapter 5 Exam Practice (from Maths Genie - “The Equation of a Line”)
This is for Edexcel AS Maths Chapter 5 (Straight Line Graphs). This was exam practice that I completed from a A-level resource from Maths Genie. You can find its questions on the website > A-level Revision > AS Pure Mathematics > Equation of a Line.
4
134
7/8
Straight Line Grpahs and Equations
Notes covering straight line graphs in KS3 Maths. Includes diagrams, definitions and examples.
7
358
11
Fractions , indices , estimation + rounding , HCF + LCM
For Edexcel Foundation and Higher. These topics are likely to be some of the first and easiest on the paper but can often be where people make silly mistakes
19
674
10/11
Equation of a straight line and graphs GCSE
Includes y = mx + c, gradient , finding the equation of a straight line, finding the equation of the line from the graph and form points and exam style questions
7
330
S3/S4
Equation of a Straight Line
made for N5 maths. Please check my page for more N5 maths topics.
2
104
11
Turning point and roots practice
Learn how to find the turning point and roots of the equation using the graph of y = -2r-3 -6.
Average app rating
Pupils love Knowunity
In education app charts in 12 countries
Students have uploaded notes
iOS User
Philip, iOS User
Lena, iOS user
Coordinate Geometry in GCSE Mathematics: A Comprehensive Guide
This guide covers essential concepts in coordinate geometry for GCSE exams, including coordinates, gradients, midpoints, distance, straight lines, and perpendicular lines. It provides detailed explanations, formulas, and worked examples to help students master these topics.
Access to all documents
Improve your grades
Join milions of students
By signing up you accept Terms of Service and Privacy Policy
This section focuses on drawing graphs coordinate geometry GCSE questions and answers.
The page outlines different approaches to drawing straight line graphs:
Example: A detailed worked example shows how to draw the lines y = 3x - 1 and 5x - 3y = 15 on the same set of axes.
The step-by-step process for plotting these lines is explained, including finding intercepts and using the gradient to plot additional points.
Access to all documents
Improve your grades
Join milions of students
By signing up you accept Terms of Service and Privacy Policy
This page covers the concept of perpendicular lines in GCSE coordinate geometry questions and answers.
Definition: Perpendicular lines are lines that intersect at a right angle (90°).
The relationship between the gradients of perpendicular lines is explained:
Highlight: For two lines to be perpendicular, the product of their gradients must equal -1: m₁ × m₂ = -1.
The page includes a detailed worked example:
Example: Given a line with equation y = 2x + 2, find the equation of a perpendicular line passing through the point (2, -3).
The solution demonstrates how to:
This comprehensive guide provides students with the necessary tools to tackle GCSE coordinate geometry exam questions confidently.
Access to all documents
Improve your grades
Join milions of students
By signing up you accept Terms of Service and Privacy Policy
This page introduces fundamental concepts in coordinate geometry GCSE questions and answers.
The page explains how to work with coordinates and calculate gradients between two points.
Definition: The gradient between two points (x₁, y₁) and (x₂, y₂) is calculated using the formula: (y₂ - y₁) / (x₂ - x₁).
Example: For points (-3, 5) and (2, 8), the gradient would be (8 - 5) / (2 - (-3)) = 3/5.
The concept of midpoint and distance between two points is introduced.
Highlight: The distance between two points is found using the Pythagorean theorem: √[(x₂ - x₁)² + (y₂ - y₁)²].
The page covers the general equation of a straight line: y = mx + c.
Vocabulary: In the equation y = mx + c, 'm' represents the gradient, and 'c' is the y-intercept.
A worked example demonstrates how to find the equation of a line parallel to y = 4x + 5 passing through the point (-2, 5).
Maths - AS Level Edexcel Mathematics - Chapter 5 Exam Practice (from Maths Genie - “The Equation of a Line”)
This is for Edexcel AS Maths Chapter 5 (Straight Line Graphs). This was exam practice that I completed from a A-level resource from Maths Genie. You can find its questions on the website > A-level Revision > AS Pure Mathematics > Equation of a Line.
1
168
0
Maths - Straight Line Grpahs and Equations
Notes covering straight line graphs in KS3 Maths. Includes diagrams, definitions and examples.
4
134
1
Maths - Fractions , indices , estimation + rounding , HCF + LCM
For Edexcel Foundation and Higher. These topics are likely to be some of the first and easiest on the paper but can often be where people make silly mistakes
7
358
0
Maths - Equation of a straight line and graphs GCSE
Includes y = mx + c, gradient , finding the equation of a straight line, finding the equation of the line from the graph and form points and exam style questions
19
674
0
Maths - Equation of a Straight Line
made for N5 maths. Please check my page for more N5 maths topics.
7
330
1
Maths - Turning point and roots practice
Learn how to find the turning point and roots of the equation using the graph of y = -2r-3 -6.
2
104
1
Average app rating
Pupils love Knowunity
In education app charts in 12 countries
Students have uploaded notes
iOS User
Philip, iOS User
Lena, iOS user
