SOLUTION: Find the equation of the line: Parallel to the line 3x-2y=26 and passing (a)half as far from the origin; (b)at a distance 3 from the origin; (c)at a distance 3square root13 from t

Question 1024752: Find the equation of the line:
Parallel to the line 3x-2y=26 and passing (a)half as far from the origin; (b)at a distance 3 from the origin; (c)at a distance 3square root13 from the given line.
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
(a) Half as far from the origin;
is the more interesting question.

Slope for the parallel line would be also 3/2, and the equation starts as
and then

or say as
and you do not yet know b.

How far is the GIVEN line from origin?
You need the perpendicular line containing the origin for this.
is this perpendicular line.
WHERE does this line intersect with the given line of ?

Find intersection point of .
Intersection of the perpendicular lines is (-4,6).

The line you want in question (a) will intersect or contain the MIDPOINT of (0,0) and (-4,6).
CAN YOU DO THE REST FROM HERE?
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