Anonymous

# Find the point(s) on the graph pf y=1/x where th graph is parallel to the line 4x+9y=3?

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- Anonymous1 decade agoBest Answer
if they are parallel, the gradient will be the same, so differentiate each function:

1/x become -1/x^2

rearrange and differentiate 4x+9y=3:

y=1/3-4x/9

dy/dx=-4/9

equate these:

-1/x^2=-4/9

solve:

x^2=9/4

x=3/2 or -3/2

put this x value into original equation:

y=1/x

y=2/3 or -2/3

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