🎯 WALT (We Are Learning To)

Graph linear equations on a coordinate plane

Success Criteria:

✓ I can accurately plot linear equations on the Cartesian plane
✓ I can interpret the graphical representation of linear equations
✓ I can explain how changes in coefficients affect the graph

📊 Part 1: Understanding Linear Equations

1. In the equation y = mx + c, what does each letter represent?

m = _________________ (also called the _________________)

c = _________________ (where the line crosses the _________-axis)

2. Complete the table of values for y = 2x + 1:

x	-2	-1	0	1	2
y	____	____	____	____	____

3. Which of the following equations has the steepest gradient?

y = x + 3

y = 4x - 1

y = -2x + 5

y = 0.5x + 2

4. Match each equation to its y-intercept:

y = 3x - 2 → y-intercept = ______

y = -x + 7 → y-intercept = ______

y = 5x → y-intercept = ______

📈 Part 2: Graphing Practice

5. Plot the equation y = -x + 3 on the grid below. Show your working by plotting at least 3 points first.

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6. Without graphing, predict what happens to the line y = 2x + 1 when it changes to y = 2x + 4:

The line becomes steeper

The line moves up by 3 units

The line moves down by 3 units

The line becomes less steep

7. A line passes through points (0, -1) and (2, 3). What is its equation?

Gradient = ________________

Y-intercept = ________________

Equation: y = ________________

🚀 Extension Questions (Advanced)

8. Two lines are parallel. If one line has equation y = 3x + 2, which could be the equation of the parallel line?

y = 3x - 5

y = -3x + 2

y = 2x + 3

y = ⅓x + 1

9. Challenge: If two lines are perpendicular and one has gradient 2, what is the gradient of the other line?

Gradient = ________________

10. Real-world application: A plumber charges a $50 call-out fee plus $40 per hour. Write and graph the equation showing total cost (y) versus hours worked (x).