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Straight line graphs

Free Printable Straight line graphs PDF Worksheets, Revision Guide & GCSE Past Paper Questions (Grade 3)

Download free straight line graphs worksheets (PDF), GCSE maths past paper questions and worked solutions for Straight line graphs (3Q). This is a Grade 3 algebra topic from the GCSE questions by topic collection for Foundation and Higher tier GCSE Maths (Edexcel, AQA, OCR and IGCSE).

The free PDF worksheets table below brings together printable question booklets (Qs) and worked answers or mark schemes (Ans) from Maths Genie, Corbett Maths, Maths Made Easy, Metatutor, Maths DIY, Maths Takeaway, Dr Austin, 1st Class Maths, GCSE Maths Rocket, E Classroom and PMT, along with past paper question booklets.

Below the worksheet links you can read our straight line graphs revision notes and worked examples with diagrams, try real GCSE past paper straight line graphs questions with step-by-step solutions, or download a PDF of all straight line graphs worksheet links.

Free Straight line graphs PDF Worksheets & Answers

Grade 3 • Topic 3Q
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Grade 3 topics
3A - Error intervals3B - Operations with fractions
3C - Estimation3D - Writing and simplifying ratio
3E - Ratio3F - Proportion recipes
3G - Percentages3H - Percentage change
3J - Exchange rates3K - Conversions and units
3L - Scale drawings3M - Best buy questions
3N - Substitution3P - Solving linear equations
3Q - Straight line graphs3R - Area and circumference
3S - Rotations3T - Reflections
3U - Enlargements3V - Translations
3W - Mixed transformations3X - Area of compound shapes
3Y - Frequency trees3Z - Two way tables
GCSE Maths Grade 3 Revision Notes & Method

Guide to Straight line graphs: Explanation, Diagrams & Worked Examples

Download Printable One Page Guide (PDF)

Explanation:

Every straight line has an equation of the form y = mx + c, where m is the gradient (steepness) and c is the y-intercept (where the line crosses the y-axis at (0, c)). To draw a straight-line graph, substitute each x-value into the equation to complete a table of values, plot the coordinates, and join them with a ruler.

To find the gradient m from a drawn line, pick two clear grid points on the line and calculate Gradient = Change in y (Rise)Change in x (Run). Lines sloping downwards from left to right have a negative gradient.

Example 1: Complete the table and draw y = 2x − 3.

x y 3 3 −3
x−10123
y−5−3−113
x = −1: 2(−1)−3 = −5
x = 1: −1;  x = 3: 3

Example 2: A line passes through (0, 4) and (2, 10). Find its equation in the form y = mx + c.

4 10 2 +2 +6
y-intercept: c = 4
m = 10 − 42 − 0 = 62 = 3
Answer: y = 3x + 4
Scanned GCSE Exam Questions & Worked Solutions

GCSE Past Paper Straight line graphs Questions & Answers

Past Paper Example 1 GCSE Nov 2019 3F Q17 4 marks
Full Paper (PDF) • Mark Scheme (PDF)
(a) Complete the table of values for y = 4x – 6 for x from –1 to 4. (2) (b) Draw the graph of y = 4x – 6 on the grid. (2)
(a) Complete the table of values for y = 4x - 6 [2 marks]
x–101234y–210
(b) On the grid, draw the graph of y = 4x - 6 for values of x from -1 to 4 [2 marks]
–11234O–14–12–10–8–6–4–22468101214yx
Worked Solution & Mark Scheme (4 marks)
Part (a) Solution:
x = –1 ⇒ y = –10 M1
x = 0 ⇒ y = –6
x = 2 ⇒ y = 2
x = 3 ⇒ y = 6 A1
x–101234y–10–6–22610
Answer (a): –10, –6, (–2), 2, 6, (10)
Part (b) Solution:
x = –1 ⇒ y = –10 M1
x = 0 ⇒ y = –6
x = 2 ⇒ y = 2
x = 3 ⇒ y = 6 A1
–11234O–14–12–10–8–6–4–22468101214yx
Answer (b): Straight line drawn from (–1, –10) to (4, 10)
Past Paper Example 2 IGCSE Jan 2020 1FR Q11 3 marks
Full Paper (PDF) • Mark Scheme (PDF)
On the grid, draw the graph of y = 3x + 2 for values of x from -2 to 4
yx−2−11234O−5−4−3−2−11234567891011121314
Worked Solution & Mark Scheme (3 marks)
Points: (–2, –4), (–1, –1), (0, 2), (1, 5), (2, 8), (3, 11), (4, 14) M2 A1
yx−2−11234O−5−4−3−2−11234567891011121314
Answer: Straight line drawn from (−2, −4) to (4, 14)
Past Paper Example 3 IGCSE Jun 2019 1FR Q11 3 marks
Full Paper (PDF) • Mark Scheme (PDF)
yx–2–1123456–7–6–5–4–3–2–11234567O
On the grid, draw the graph of y = 2x - 3 for values of x from –1 to 5
Worked Solution & Mark Scheme (3 marks)
Points: (–1, –5), (0, –3), (1, –1), (2, 1), (3, 3), (4, 5), (5, 7) M2 A1
yx–2–1123456–7–6–5–4–3–2–11234567O
Answer: Straight line drawn from (–1, –5) to (5, 7)

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