Mastering Straight Line Graphs

Mathematics
GCSE Higher
12 questions
~24 mins
0 views0 downloads

About This Worksheet

A worksheet covering the fundamentals and advanced applications of straight line graphs for GCSE Higher students.

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Mastering Straight Line Graphs

Subject: MathematicsGrade: GCSE Higher
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Date:

Untitled Worksheet

Grade GCSE Higher
A

Practice Questions

Answer all questions. Show your working in the grid spaces provided.
1.
Write down the equation of a line with gradient 3 and y-intercept 2.
[2 marks]
2.
Find the gradient of the line passing through the points (2, 5) and (4, 9).
[2 marks]
3.
Determine the y-intercept of the line with equation y = -4x + 7.
[2 marks]
4.
Calculate the value of y when x = 3 for the line y = 2x - 1.
[2 marks]
5.
Find the equation of the line passing through (1, 2) with a gradient of 4.
[2 marks]
6.
Determine whether the points (3, 4) and (6, 10) lie on the same straight line.
[3 marks]
7.
A line has a gradient of 0.5 and passes through (2, 3). Write its equation.
[3 marks]
8.
Solve for x when y = 10 in the equation y = -2x + 14.
[3 marks]
9.
The line y = 3x + c passes through (4, 10). Find the value of c.
[3 marks]
10.
Plot the line y = -x + 4 and determine its x-intercept.
[3 marks]
11.
A real-world scenario: A car rental company charges a flat fee of £50 plus £0.20 per mile. Write the equation relating total cost y to miles driven x, and find the total cost for 150 miles.
[4 marks]
12.
The profit P (in thousands of pounds) from selling x units of a product is given by P = 4x - 60. Find the profit when 15 units are sold.
[4 marks]

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Details

Created
12/30/2025
Updated
12/30/2025
Type
worksheet