SOLUTION: what equation of the line is perpendicual to the the graph 6x+3y=8 and through the points (3,-4)

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Question 826897: what equation of the line is perpendicual to the the graph 6x+3y=8 and through the points (3,-4)
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
6x%2B3y=8
3y=-6x%2B8
y=-2x%2B8%2F3

Any line perpendicular to that given line has slope m%28-2%29=-1, highlight_green%28m=1%2F2%29.

This perpendicular line has unknown y-intercept, b, until calculated:
y=%281%2F2%29x%2Bb
b=y-%281%2F2%29x;
and must contain the given point (3,-4).
highlight_green%28b=-4-%281%2F2%293%29;
-
Can you finish?