Determine whether the straight lines 2x + 5y - 8 = 0 & 5x -2y - 3 = 0 are parallel or perpendicular.
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Answer:
Perpendicular
Step-by-step explanation:
Arranging both equations in the form y = mx + c to find gradient:
(1) 2x + 5y - 8 = 0
5y = -2x + 8
y = -2/5 x + 8/5
m1 = -2/5
(2) 5x - 2y - 3 = 0
2y = 5x - 3
y = 5/2 x - 3/2
m2 = 5/2
For perpendicular lines:
m1 × m2 = -1
-2/5 × 5/2 = -1
hence they are perpendicular
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