SOLUTION: The magnitude of the distance from the line 5x = By + 26 to the point (3, -5) is 49/13. Determine the value of B.

Question 1119291: The magnitude of the distance from the line 5x = By + 26 to the point (3, -5) is 49/13. Determine the value of B.
Found 2 solutions by greenestamps, math_helper:
Answer by greenestamps(13215) (Show Source): You can put this solution on YOUR website!

(corrected response.... the original was a half-asleep late night one.)

The distance from a point (a,b) to the line Ax+By+C=0 is given by the formula

Convert the given equation to the required form and plug in the given numbers and we get the equation

That's a rather ugly equation to solve with pencil and paper; a graphing calculator shows one answer is B=12 and another is an ugly probably irrational number about -1.8.
Answer by math_helper(2461) (Show Source): You can put this solution on YOUR website!
A couple minor corrections to @greenestamps answer:
He wrote a quadratic form but it should have been ax+by+c = 0

The distance formula to (h,k) from this line is |d| =

Plugging in a=-5, b=B, c=26, h=3, k=-5:

Which has TWO solutions for B:
1.
and
2.

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