Question 406571
slope is 4/7 which is right.

The perpendicular line will have a slope which is negative reciprocal of  the slope of the given line. 
Since m1*m2=-1

so slope of the required line will be -7/4

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line passes through (5,-3)
plug the value of slope , and the point to find b the y intercept

-3=(-7/4)*5+b
-3+35/4=b
+23/4 = b

...
the equation will be y = (-x/4)+23/4