Question 348166
Hi
*Note solve 7x + 4y = 15 + 2x  for y in order to determine the slope of this line.
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{{{y = (-5/4)x + (15/4)}}}
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y = mx + b
Slope of this line is (-5/4)
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The slope of a line perpendicular to this line would be the negative reciprocal or (4/5)
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Sutitute slope and point ( .5, .5 )into the slope point form for a line
{{{y  = m(x - x[1])+y[1]}}}
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{{{y= (4/5)*(x-(1/2)) + (1/2)}}}
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Simplify:
{{{y= (4/5)*x-(4/10) + (5/10)}}}
{{{y= (4/5)*x+(1/10)}}}
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check your answer with point given (.5,.5)