A.Maths Straight line question!!

2006-12-11 7:07 am
A line makes intercept h on the x-axis and intercept k on the y-axis. The line passes through (1,2). Express h in term of k.

Answer; h= k/(k-2)

回答 (1)

2006-12-11 7:11 am
✔ 最佳答案
By intercept form of straight line,
the equation of straight line is
x/h+y/k=1

Put x=1, y=2
1/h+2/k=1
1/h=1-2/k=(k-2)/k
h=k/(k-2) (ANS)

2006-12-11 00:16:34 補充:
===ALTERNATE SOLUTION===Let the equation of straight line bey=mx k (since y-intercept=k)Put x=1, y=22=m k   --(1) Put x=h, y=00=mh k   -(2)Eliminate m from (1) and (2),0=(2-k)h kh=k/(k-2) (ANS)


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