Question 614521
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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, {{{m =(y[2] - y[1])/(x[2] - x[1])}}}
(x, 4)and
(4,-5)   m = {{{9/(x-4) = 3/7}}}   || 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