3.3 Equation & Gradient of Linear Graph

Equation of Linear Graph

y and x are the variables while m is the gradient Gradient dictates how steep or flat the line is. While y-intersect is the point where the line crosses the y-axis.

Calculating Gradient

Gradient defines how steep or flat the line will be. In the line equation, the gradient is represented with m. The gradient is also referred to as the slope. To find the gradient (m) we need 2 coordinates.

If a diagram is given, asking you to calculate you can simply count the vertical distance between 2 coordinates count the horizontal distance, and calculate as shown below.

An alternative way to solve without using the formula or calculator is by taking 2 exact coordinates when a diagram is given. creating a right-angle triangle, counting from the point horizontally and then vertically. Horizontally if going right it is positive if left negative. similarly vertically going up is positive and going down is negative. As explained by the gif below.

The formula method for finding the gradient/slope

What is c?

c is the y-intersect. The point where the line crosses the y-axis.

Usually written as ( 0 , y-coordinate)

This is how we identify the y-intersect or for the value of c.

Check how much you have learned with the Kahoot Quiz.

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3.5 Parallel Lines & Perpendicular Lines

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3 Coordinate Geometry

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Maths Lore by Miss Rafa

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