(b) Find the equation of the straight line which passes through 81 +88 (i) the point (3, 2) and makes an intercept on the x-axis
is twice as long as that on the y-axis. (ii) the point (-1, 3) whose intercept on the y-axis is thrice that on x-axis.
1 answer:
3x+y=0 and x+2y=7
i)
a= intercept on x axis
b= intercept on y axis
from the question
a=2b
x/2b+ y/b=1
x+2y=2b
since it passes through the point (3,2)
then 3+4=2b
7/2=b
x+2y=7 putting the value of b
ii) given b =3a
then x/a+ y/ 3a =1
3x+y=3a
it passes through ( -1,3) then
-3+3=3a
a=0
3x+y=0
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