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Prove that the straight line whose intercepts on the axes are 2 and -3 respectively passes through the point (4,3)
 
 
 

Asked by neeraj.unnao 5th November 2016, 11:24 PM
Answered by Expert
Answer:
begin mathsize 16px style The space equation space of space straight a space line space in space slope space intercept space form space is
straight x over straight a plus straight y over straight b equals 1 comma space where space straight a space is space the space straight x minus intercept space and space straight b space is space the space straight y minus intercept
Given space that space straight a space equals space 2 space and space straight b space equals space minus 3
So comma space the space equation space of space the space line space is space straight x over 2 minus straight y over 3 equals 1.
For space the space line space to space pass space through space the space point space left parenthesis 4 comma space 3 right parenthesis comma space the space coordinates space of space the space point space should space
satisfy space the space equation space of space the space line space straight x over 2 minus straight y over 3 equals 1
rightwards double arrow LHS space equals space straight x over 2 minus straight y over 3 equals 4 over 2 minus 3 over 3 equals 2 space minus space 1 space equals space 1 space equals space RHS
So comma space the space coordinates space of space the space point space pass space through space the space straight space line.
Hence space proved. end style
Answered by Expert 6th November 2016, 7:19 PM
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