Hi,

the line passing through points (x,4)and(4,-5) is perpendicular to a line with a slope of -7/3

Note:  Perpendicular lines have slopes that are the negative reciprocal of one another

 Using the point-slope formula, 

(x, 4)and

(4,-5)   m =    || m = 3/7 the slope of the  perpendicular line 

Cross Multiplying to solve:

 3(x-4) = 63

   3x-12 = 63

    3x = 75

     x = 25

CHECKING our Answer***

(25, 4)and

(4,-5)   m = 9/21 = 3/7 

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