Question 157483
Transform each equation to slope-intercept form, {{{y=mx+b}}}.
Then compare the slopes.
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1.{{{3x-8y=-18}}}
1.{{{8y=3x+18}}}
1.{{{y=(3/8)x-9/4}}}
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2.{{{32x+12y= -18}}}
2.{{{12y=-32x-18}}}
2.{{{y=-(32/12)-18/12}}}
2.{{{y=-(8/3)-3/2}}}
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The slopes are negative reciprocals of each other.
{{{m[1]m[2]=(3/8)(-8/3)=-1}}}
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This is a property of perpendicular lines.
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Graphical proof of perpendicularity.
{{{ graph( 300, 300, -5, 5, -5, 5, 0.375*x-9/4, -2.67*x-3/2) }}}