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Question
The equation of a line AB is 2x – 2y + 3 = 0.
- Find the slope of the line AB.
- Calculate the angle that the line AB makes with the positive direction of the x-axis.
Sum
Solution
i. 2x − 2y + 3 = 0
2y = 2x + 3
`y = x +3/2`
Slope of the line AB = 1
ii. Required angle = θ
Slope = tan θ = 1 = tan 45°
θ = 45°
shaalaa.com
Geometric Understanding of ‘m’ as Slope Or Gradient Or tanθ Where θ Is the Angle the Line Makes with the Positive Direction of the x Axis
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