Question 210757
Put each of these equations into y=mx+b form. m is the slope:
Equation #1:
{{{3x+5y=8}}}
{{{5y=-3x+8}}}
{{{y=-3x/5+8/5}}}
Slope of Equation #1 = -3/5
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Equation #2:
{{{5x-3y=5}}}
{{{-3y=-5x+5}}}
{{{y=5x/3-5/3}}}
Slope of Equation #2 is 5/3
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You can see the slopes are negative reciprocols of each other. Hence, the lines are perpendicular.
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Good Luck,
tutor_paul@yahoo.com