Linear Equations & Graphs
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Linear Equations & Graphs
📊 Part 1: Plotting Linear Equations
Success Criteria: I can substitute x-values into y = mx + c and plot points accurately on a coordinate grid.
x = -2, y = _____
x = -1, y = _____
x = 0, y = _____
x = 1, y = _____
x = 2, y = _____
🔍 Part 2: Finding Equations from Graphs
Success Criteria: I can identify the gradient and y-intercept from a graph and write the equation in the form y = mx + c.
Gradient (m) = rise ÷ run = _____ ÷ _____ = _____
Y-intercept (c) = _____
Equation: y = _____ x + _____
Step 1: Find the gradient: m = _____
Step 2: Identify the y-intercept: c = _____
Step 3: Write the equation: y = _____
y = 3x + 2
Gradient of -1, y-intercept of 7y = -x + 7
Gradient of 3, y-intercept of 2y = 0.5x - 1
Gradient of 0.5, y-intercept of -1🚀 Part 3: Extension & Real-World Applications
For Advanced Learners: Explore special cases and applications of linear equations.
a) Write this as a linear equation where y = total cost and x = kilometres: y = _____________
b) What does the gradient represent? _________________________________
c) What does the y-intercept represent? _____________________________
Write an equation that would be parallel to y = 4x + 1: y = _____________
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