Linear Graphs — Year 8 Practice Questions
Work through these Year 8 practice questions on linear graphs. Try each one before revealing the worked solution.
Questions
Write down the coordinates of the point that is 4 right and 3 up from the origin.
For the equation y = x + 2, find y when x = 3.
Complete the table for y = 2x for x = 0, 1, 2, 3.
Write down the gradient and y-intercept of y = 3x + 4.
For y = 2x − 1, find the y values when x = 0, 1 and 2.
What kind of line is y = 5?
Does the line y = 4x + 1 slope up or down from left to right?
The point (2, k) lies on the line y = 3x − 1. Find k.
Answers & Worked Solutions
Question 1 Solution
Step 1: Across first, then up.
Step 2: 4 right and 3 up is (4, 3).
Answer: (4, 3)
Question 2 Solution
Step 1: Substitute x = 3.
Step 2: y = 3 + 2 = 5.
Answer: 5
Question 3 Solution
Step 1: Multiply each x value by 2.
Step 2: y = 0, 2, 4, 6.
Answer: 0, 2, 4, 6
Question 4 Solution
Step 1: The number with x is the gradient: 3.
Step 2: The number on its own is the y-intercept: 4.
Answer: gradient 3, y-intercept 4
Question 5 Solution
Step 1: x = 0: y = −1; x = 1: y = 1; x = 2: y = 3.
Step 2: So the y values are −1, 1, 3.
Answer: −1, 1, 3
Question 6 Solution
Step 1: y = a number is a horizontal line.
Step 2: It passes through all points where y = 5.
Answer: A horizontal line
Question 7 Solution
Step 1: The gradient is +4, which is positive.
Step 2: A positive gradient slopes up to the right.
Answer: Up
Question 8 Solution
Step 1: Substitute x = 2 into y = 3x − 1.
Step 2: y = 3 × 2 − 1 = 5, so k = 5.
Answer: 5
Build strong foundations in Linear Graphs
A free trial class with Teacher Rig helps your Year 8 child master Linear Graphs now — so IGCSE Maths feels familiar, not frightening, later.
Heading toward IGCSE? See how Linear Graphs develops in IGCSE Algebra and Graphs (Cambridge 0580) →