# SOLUTION: the line passing through points (x,4)and(4,-5) is perpendicular to a line with a slope of -7/3.Which is the value of x?

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 Click here to see ALL problems on Linear Algebra Question 614521: the line passing through points (x,4)and(4,-5) is perpendicular to a line with a slope of -7/3.Which is the value of x?Answer by ewatrrr(10682)   (Show Source): You can put this solution on YOUR website! ``` 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 ```