Find the equation of the line through the point (5,2) and parallel to the line 2y-3x=4. Find the value of a if the line ax-(a+1)y+2=0 does not intersect the pair of parallel lines.
Find the equation of the line through the point (5,2) and parallel to the line 2y-3x=4. Find the value of a if the line ax-(a+1)y+2=0 does not intersect the pair of parallel lines.
The underlined part is what i could not get.
well this is a try at it...rewrite as
Then at the eq is
Last edited by bigwave; Oct 21st 2010 at 12:43 PM.
Find the equation of the line through the point (5,2) and parallel to the line 2y-3x=4. Find the value of a if the line ax-(a+1)y+2=0 does not intersect the pair of parallel lines.
The underlined part is what i could not get.
1. The pair of parallel lines have the common slope .
2.
3. If the line in question doesn't intersect the two parallels it must be parallel to both, that means it's slope must be too. Therefore:
EDIT: @ArchieMeade: Thanks!
Last edited by earboth; Oct 20th 2010 at 11:22 PM.