Answer:
Slope of the perpendicular line = 4/7
So , general equation of line is
y = (4/7) x +c
As this line passes through (5,-2) ,it also satisfy the equation
[tex] - 2 = ( \frac{ 4}{7} ) \times 5 + c[/tex]
[tex]c = -2 - \frac{20}{7} [/tex]
[tex]c = \frac{-34}{7} [/tex]
Now the required equation :-
[tex]y = ( \frac{ 4}{7} )x + \frac{-34}{7} [/tex]
[tex]4x - 7y = 34[/tex]
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