Subjects
Careers
Maths
Biology
Chemistry
English Lang.
History
Homeostasis and response
Energy transfers (a2 only)
Infection and response
Responding to change (a2 only)
Cell biology
Organisms respond to changes in their internal and external environments (a-level only)
Organisms exchange substances with their environment
Biological molecules
Organisation
Substance exchange
Bioenergetics
Genetic information & variation
Inheritance, variation and evolution
Ecology
Cells
Show all topics
2m wars and welfare: britain in transition, 1906-1957
World war two & the holocaust
Inter-war germany
1f industrialisation and the people: britain, c1783-1885
2d religious conflict and the church in england, c1529-c1570
Medieval period: 1066 -1509
Britain & the wider world: 1745 -1901
The cold war
1c the tudors: england, 1485-1603
2o democracy and nazism: germany, 1918-1945
1l the quest for political stability: germany, 1871-1991
2n revolution and dictatorship: russia, 1917-1953
2s the making of modern britain, 1951-2007
World war one
Britain: 1509 -1745
Show all topics
17
0
Studynotes_gcse
10/06/2022
Maths
Coordinate Geometry GCSE
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
592
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.
19
688
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
10
355
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
2
128
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.
37
1769
S4
Nat5 Maths Revision
questions to help with final exam and prelim revision for national 5 maths
1011
7028
10/11
Maths Grade 7 Booklet Solutions
This Booklet shows solutions of the Booklet I have posted for helping.
7
333
S3/S4
Equation of a Straight Line
made for N5 maths. Please check my page for more N5 maths topics.
Average app rating
Pupils love Knowunity
In education app charts in 17 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 - 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
688
0
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
355
0
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
128
1
Maths - Nat5 Maths Revision
questions to help with final exam and prelim revision for national 5 maths
37
1769
0
Maths - Maths Grade 7 Booklet Solutions
This Booklet shows solutions of the Booklet I have posted for helping.
1011
7028
14
Maths - Equation of a Straight Line
made for N5 maths. Please check my page for more N5 maths topics.
7
333
1
Average app rating
Pupils love Knowunity
In education app charts in 17 countries
Students have uploaded notes
iOS User
Philip, iOS User
Lena, iOS user
