Millburn Academy Maths department Higher Angles and Gradients.

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Millburn Academy Maths department Higher Angles and Gradients

We know from National 5 that: Given that: B(x2,y2) y2 – y1 opposite A(x1,y1) x2 – x1 adjacent We know from National 5 that: but where θ is the anticlockwise angle from the horizontal to the line AB, or its extension.

Find the gradient of the line AB. Example 1 Find the gradient of the line AB. B 30º A      

Example 2 Find the angle that the line PQ makes with the positive direction of the x-axis given the coordinates P(5,-4) and Q(-1,2).