Gradient and Y-Intercept in Linear Equations
Learn what m (the gradient) and c (the y-intercept) mean in , and how they affect the line on a graph. Let’s get started! 🚀
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🛎️ Recap: Linear Equations
- Linear equations are usually written in the form y = mx + c.
- When you draw a linear equation, it makes a straight line on a graph.
🛎️ The y-intercept (c)
- c is the y-intercept, where the line crosses the y-axis.
- This is the value of y when x = 0.
🛎️ The Gradient (m)
- m is the gradient, which shows how much y changes when x increases by 1.
- If m > 0 the line goes upwards, and if m < 0 the line goes downwards.
- A larger |m| means the line is steeper.
🛎️ Drawing a Linear Equation: Step 1
- Start by plotting the y-intercept using the value of c.
- This gives you the first point on the line.
🛎️ Drawing a Linear Equation: Step 2
- Use the gradient m to find a second point.
- For example, if m = -3, go 1 right and 3 down from the first point.
- Join the two points to draw the straight line.
Practice Questions
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Interactive Activity
Gradient and Y-Intercept in linear equations
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