Calculate the gradient of this straight line

The gradient of a striaght line measures how much it changes when you move in one direction. For example when we move to the right in the x direction, the line goes down. The equation for finding the gradient of a line is: gradient = change in y / change in x Here, we take the y co-ordinate of a point on the line (yellow, y=5) and take away the y co-ordinate of another point on the line (blue, y=2). This gives 5-2 = 3 for the top of the equation. We then do the same for the x co-ordinates of the same points. The x co-ordinate of the yellow point, (-2) takeaway the x co-ordinate of the blue (0). It's important that you do the takeaway the same way each time, i.e. yellow - blue. This gives us -2 for the bottom of the equation. Together we get 3/-2 for the equation, which is our gradient! A way we can check to see if the sign w got is right is by looking at the graph. We start on the left side of the graph and move to the right. If the graph goes dwon, we know the gradient will be negative. If it goes up, it will be positive. So in this case we got the sign right!

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