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?

Algebra ->  College  -> Linear Algebra -> 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?      Log On


   

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(24785) About Me  (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, m+=%28y%5B2%5D+-+y%5B1%5D%29%2F%28x%5B2%5D+-+x%5B1%5D%29

(x, 4)and

(4,-5)   m = 9%2F%28x-4%29+=+3%2F7   || 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