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Find p for so that the following straight line has  (0,50)

 

2x–(3p+4)y+5p+9 = 0

 Dec 19, 2016
 #1
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2x–(3p+4)y+5p+9 = 0    simplify

 

2x - 3py - 4y + 5p + 9  = 0  ....  and we want x =0  and y  = 50...so we have

 

2(0)  - 3p(50)  - 4(50)  + 5p   + 9   = 0 

 

0 - 150p - 200 +  5p  + 9  = 0

 

-145p - 191  = 0    add 191 to both sides

 

-145p   = 191     divide both sides by -145

 

p =   -191/ 145

 

Proof :

 

2x - (3 (-191/145) + 4)y  + 5(-191/145) + 9   = 0

 

2x - [7/145 ] y  - 955/145  + 9  = 0

 

2x - [7/145]y  - 955/145 + 9  = 0          and when x = 0 and y = 50, we have

 

2(0) - [7/145] (50)  - 955/145  + 9  = 0

 

-[7 /145] (50)  +  70/29  =0

 

-7(50) /145 + 70/29  =0

 

-7 (10)/29 + 70/29

 

-70/29 + 70/29  = 0

 

 

cool cool cool

 Dec 19, 2016

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