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## #1 2005-10-04 12:34:41

Ashley
Guest

### Algebra in Standard form..

Determine the equation of the line perpindicular to 4x-2y+7=0 and having the same y-intercept 2x+3y-10=0

It would be great if you can help me out in this question!

## #2 2005-10-04 22:34:35

ganesh
Moderator
Registered: 2005-06-28
Posts: 21,812

### Re: Algebra in Standard form..

The slope of 4x-2y+7=0 is 2.
Therefore, the perpendicular to this line has a slope -1/2.

The y-intercept 2x+3y-10=0
is 10/3.
Therefore, the line passes through (0, 10/3)
The equation of the line would be
y - 10/3 = -1/2(x - 0) = -x/2
2y - 20/3 = -x
x + 2y - 20/3 = 0
3x + 6y - 20 = 0 is the required equation.

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