Question 379619

Convert both equations to slope-intercept form,{{{y=mx+b}}} and compare their slopes.
{{{2x-y=-10}}}
{{{y=2x+10}}}
{{{highlight(m[1]=2)}}}
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{{{2x+4y=2}}}
{{{4y=-2x+2}}}
{{{y=-(1/2)x+1/2}}}
{{{highlight(m[2]=-1/2)}}}
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Parallel lines have slopes that are identical, {{{m[1]=m[2]}}}
Perpendicular lines have slopes that are negative reciprocals, {{{m[1]*m[2]=-1}}}
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{{{2*(-1/2)=-1}}}
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The lines are perpendicular.
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{{{graph(300,300,-8,2,-2,8,0,-(1/2)x+1/2,2x+10)}}}