Linear Graphs to Equations

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📚 Instructions: Finding Equations from Graphs

To find the equation y = mx + c from a linear graph:

1. Find the gradient (m): Choose two points and use m = rise/run

2. Find the y-intercept (c): Where the line crosses the y-axis

3. Write the equation in the form y = mx + c

1. Graph A passes through points (0, 3) and (2, 7)

Gradient (m) = _________

Y-intercept (c) = _________

Equation: y = _________

2. Graph B passes through points (0, -2) and (4, 6)

Gradient (m) = _________

Y-intercept (c) = _________

Equation: y = _________

3. Graph C passes through points (0, 5) and (3, -1)

Gradient (m) = _________

Y-intercept (c) = _________

Equation: y = _________

4. Graph D passes through points (0, 0) and (-2, 6)

Gradient (m) = _________

Y-intercept (c) = _________

Equation: y = _________

5. A line has gradient -3 and passes through point (2, 4). What is its equation?

6. Explain in your own words how to find the gradient from two points on a graph: