SOLUTION: what are the two points on the line 2x+3y+4=0 which is at distance 2 from line 3x+4y-6=0?

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Question 911131: what are the two points on the line 2x+3y+4=0 which is at distance 2 from line 3x+4y-6=0?
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
They meet at x = 34, y = -24
Their equations in slope intercept form are
y = -(2 x)/3-4/3, y = 3/2-(3 x)/4
Find 2 points distance 2 from x = 34, y = -24 on line y = -(2 x)/3-4/3
One point is 4,-4 the other is 64,-44
x = 34, y = -24 would be the midpoint between the 64,-44 and 4,-4