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Energy transfers (a2 only)
Infection and response
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Biological molecules
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Bioenergetics
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World war two & the holocaust
1l the quest for political stability: germany, 1871-1991
Inter-war germany
2d religious conflict and the church in england, c1529-c1570
1c the tudors: england, 1485-1603
The cold war
Medieval period: 1066 -1509
Britain & the wider world: 1745 -1901
2m wars and welfare: britain in transition, 1906-1957
1f industrialisation and the people: britain, c1783-1885
2j america: a nation divided, c1845-1877
2n revolution and dictatorship: russia, 1917-1953
The fight for female suffrage
World war one
Britain: 1509 -1745
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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 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).
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.
7
356
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
4
134
7/8
Straight Line Grpahs and Equations
Notes covering straight line graphs in KS3 Maths. Includes diagrams, definitions and examples.
1
166
12/13
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.
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.
10
347
S4/S5
Block 2 - National 5 Maths
National 5 Maths - Block 2 notes on topics such as changing the subject,volume, interquartile range, standard deviation, gradient, straight line and more
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.
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).
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.
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
356
0
Maths - Straight Line Grpahs and Equations
Notes covering straight line graphs in KS3 Maths. Includes diagrams, definitions and examples.
4
134
1
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
166
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 - Block 2 - National 5 Maths
National 5 Maths - Block 2 notes on topics such as changing the subject,volume, interquartile range, standard deviation, gradient, straight line and more
10
347
0
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
