Work through the levels in order. Type your answer and press Check — open the worked solution if you get stuck. Answers like -6, 3/4 or 0.25 are typed exactly as shown. A ⭐ Bonus Challenge at the end is extra credit — skip it if the rest was hard work.
Level 1 · Warm-up
1 In y = 5x + 2, what is the gradient?
Show worked solution
5.
2 In y = 5x + 2, what is the y-intercept? (write the number)
Show worked solution
2, so the line crosses at (0, 2).
3 Is y = 4 horizontal or vertical?
Show worked solution
Horizontal (gradient 0).
Level 2 · Core
4 In y = 4x − 3, what is c?
Show worked solution
−3.
5 Rearrange 3x + y = 10 into y = mx + c and give the gradient.
Show worked solution
y = −3x + 10, so m = −3.
6 What is the gradient of the line x = −4?
Show worked solution
Undefined.
Level 3 · Challenge
7 What is the gradient of y = 8 − 5x?
Show worked solution
−5.
8 Find the equation of the line through (1, 5) and (3, 11). (write like y=3x+2)
Show worked solution
m = 6 ÷ 2 = 3; 5 = 3(1) + c → c = 2, so y = 3x + 2. Check: 3(3) + 2 = 11 ✓
9 Find the equation of the line through (2, 7) and (5, 16). (write like y=3x+1)
Show worked solution
m = 3; 7 = 3(2) + c → c = 1, so y = 3x + 1.