The tangent of angle of the line with the x – axis in anticlockwise direction is called slope of the line.
It is denoted by m.
Slope of the line AB,
|Example 1: Find the slope of a line which makes an angle of with the positive direction of y – axis.|
Angle with x – axis in positive direction =
SLOPE OF A LINE IN TWO POINT FORM
Let A and B be two points on the line whose coordinates are and respectively.
AM = PQ = OQ – OP = x2 – x1
BM = BQ – QM = BQ – AP =y2 – y1
|Example 2: Find the slope of a line passing through the points A(5, – 2) and B(–3, 4).|
1. Slope of a line parallel to x – axis is zero.
The angle of line AB with x – axis zero is: .
2. Slope of a line parallel to y – axis is .
The angle of line PQ with axis is .
The range of slope is .