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Write an equation of the line containing the given point and perpendicular to the given line.
(8,-6); 3x+5y=8. The equation of the line is y=
Here is what I have: 3x+5y=8 5y=-3x+8
y= -3/5(x)+8/5 y=5/3(x)=b -5=5/3(5)+b
-5=25/3+b -15=25+3b
-40=3b b= -40/3= -13 1/3 y= 5/3(x)-13 1/3
Is this correct? If not could you please show me where I went wrong? Thanks.

  • Math -

    you should know that the slopes of perpendicular lines are opposite reciprocals of each other, so shouldn't the new equation look like

    5x - 3y = c ?
    plug in the point (8,-6)

    40 + 18 = c = 58

    so 5x - 3y = 58 , ALL DONE!

    (By the way, I did not even make an effort to read your calculations. Since they just run across the page, I can't decide where one statement ends and the next one repeats.)

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