The lines are neither, nor perpendicular
How to determine the relationship?
The equations of the lines are given as
5x + 2y = 14
y = -5x + 9
Make y the subject in both equations
So, we have
y = -2.5x + 7
y = -5x + 9
The slopes of the above equations are
m1 = -2.5
m2 = -5
The above slopes are neither equal not opposite reciprocals
Hence, the lines are neither, nor perpendicular
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