📚 Part 1: Multiple Choice

1. What is the equation of a line with gradient 3 that passes through the point (2, 5)?

y = 3x + 1

y = 3x - 1

y = 3x + 5

y = 2x + 3

2. Which equation represents a line with gradient -2?

y = 2x + 4

y = -2x + 7

y = x - 2

y = -x + 2

3. What is the gradient of the line passing through points (1, 3) and (5, 11)?

2

4

8

1/2

4. Which of the following are correct forms of linear equations? (Select all that apply)

y = mx + c

ax + by = c

y = x²

y - y₁ = m(x - x₁)

✏️ Part 2: Problem Solving

5. Find the equation of the line with gradient 4 passing through the point (-1, 2). Show your working.

Answer: y = _____________

6. Find the equation of the line passing through the points (0, -3) and (4, 5). Show all steps.

Answer: y = _____________

7. A line passes through (-2, 7) and has gradient -1/2. Write the equation in the form y = mx + c.

Answer: y = _____________

8. Find the equation of the line passing through (3, -1) and (6, 8).

Answer: y = _____________

🎯 Part 3: Application

9. A mobile phone plan costs $25 per month plus $0.50 per text message. Write a linear equation where y represents the total monthly cost and x represents the number of text messages.

10. The temperature in a science experiment starts at 15°C and increases by 3°C every hour. Write an equation to represent the temperature (T) after h hours, then find the temperature after 5 hours.

Equation: T = _____________

Temperature after 5 hours: _______ °C