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In the line 4x+ 7y + c = 0, the sum of the x- and y- intercepts is 24 . Find c.

 Dec 6, 2020
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4x + 7y +  c   =   0        Re-write  as

 

y =  -(4/7)x  +  c / 7

 

y intercept....let  x  =   0

y =  c/7

 

x int  ....let  y   = 0

0 = (-4/7)x + c/7

(4/7) x  =  c/7

4x  = c

x = c/4

 

So

 

c/4  + c/7    = 24

 

(11/28) c   =24

 

c =  (28/11) (24)

 

c = 672/11

 

 

cool cool cool

 Dec 6, 2020

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