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Find the equation, in slope-intercept form, for the line perpendicular to the given line and passing through the indicated point.
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Perpendicular to 2(y+x)-3(x-y)=-9 and passing through (2,5)
Ok, first we need the slope of this given line, m1. The line perpendicular to the given line will have a slope m2, where m1m2=-1 expanding the above: 2y+2x-3x+3y=-9 5y=x-9 y=(1/5)-(9/5) Okay so m1=1/5 Thus (1/5)m2=-1 m2=-5 We need a line with slope=-5 through (2,5). y-5=-5(x-2) y-5=-5x+10 y=-5x+15
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