Find the angles between each of the following pairs of straight lines :
3x + 4y – 7 = 0 and 4x – 3y + 5 = 0
Given:
The equations of the lines are
3x + 4y − 7 = 0 … (1)
4x − 3y + 5 = 0 … (2)
To find:
Angles between two lines.
Explanation:
Let m1 and m2 be the slopes of these lines.
m1
m2
∵m1m2
Hence, the given lines are perpendicular.
Therefore, the angle between them is 90°.
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