Finding the gradient from a graph (linear)
Drawing a graph is one of the easiest ways to calculate the gradient of a straight line.
We need to work out the steepness. In other words, if we go across one step in x, how many steps in y will we go up (or down)?
We can do this by drawing a right-angled triangle on the graph. The two straight edges of the triangle represent the changes in x and y. This triangle can be any size, but try to pick points with whole number values, as this will make calculations easier. In the example to the right, I have picked the points (2, 2) and (4, 8).
We calculate gradient by dividing change in y by change in x. Here, the change in y is 6 and the change in x is 2, so we divide 6 by 2 to get a gradient of 3. This means that for each step we go across the x axis, we go up 3 on the y axis.