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GCSE Equations of Straight Lines Questions and Answers

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Question 14 - AQA GCSE Higher Maths Past Paper 2 November 2021

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Question 27 - OCR GCSE Higher 2020 Past Paper 5 - Algebra,Linear Inequalities,Graphs of inequalities,Equations of Straight Lines,Straight Line Graphs Question By Topic

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Equations of straight lines - GCSE Exam

1. What is the equation of a straight line?

The equation that produces a straight line on a graph is called an equation of a straight line. In general form an equation of straight line looks like 

y = mx + c

Where m is the gradient of the equation which tells you about the angle it makes with the x-axis and c is a constant that gives you the y-intercept.

To calculate the gradient we use this formula

01. Equations of straight lines math formula

Write down the gradient of the line with equation y = 2x + 3.

The general form of a line is y = mx + c by comparing with this we know that gradient (m) = 2

A straight line has gradient 3 and passes through the point (2,10).

Work out the equation of the line.

Let the equation of the line is y = mx + c
Gradient (m) = 3
so equation became y = 3x + c
Now as it passes through (2,10) putting
y = 10 and x = 2
10 = 3 × 2 + c
c = 10 - 6 = 4
so the equation of the line is
y = 3x + 4

This graph shows part of a straight line.

01. Equations of straight lines math formula

a) show that the gradient of this line is 3.

b) write down the equation of the line.

02. Equations of straight lines math formula

Quiz
GCSE Equations of Straight Lines

GCSE Topics

  • Ratio, Proportion and Rates of Change (443)
  • Geometry and Measures (809)
  • Statistics (274)
  • Probability (258)
  • Statistical Measures (5)
  • Numbers (1,084)
  • Data Visualisation (4)
  • Algebra (1,176)
    • Frequently Asked Questions
    What are the main topics in GCSE Maths?

    The main topics in GCSE Maths are:

    • Numbers
    • Algebra 
    • Ratio, Proportion and Rates of Change 
    • Geometry and Measures
    • Statistics 
    • Probability 
    • Statistical Measures 
    • Data Visualisation 

    With regular practice of GCSE Maths topic-wise questions and GCSE Maths past pacers, you can easily score high marks.

    Is GCSE Maths hard?

    Although many people think of GCSE maths as a difficult subject, with the correct training and preparation,you can master it in time. You can practice GCSE Maths  topic-wise questions daily to improve speed, accuracy, and time and to score high marks in the GCSE Maths exam.

    What is a good grade on GCSE Maths Exam?

    A grade of 4 or 5 would be considered "good" because the government has established a 4 as the passing grade; a grade of 5 is seen as a strong pass. Therefore, anything that exceeds this level would be considered good. You can practice GCSE Maths topic-wise questions to score good grades in the GCSE Maths exam.

    How can I get full marks in GCSE Maths?

    You can get a high score in GCSE Maths through meticulous practice of GCSE Maths topic-wise questions and GCSE Maths past papers.

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