SOLUTION: What is the equation of a line perpendicular to the line 7x + 4y = 15 + 2x and passing through the point (0.5, 0.5)?

Question 348166: What is the equation of a line perpendicular to the line 7x + 4y = 15 + 2x and passing through the point (0.5, 0.5)?
Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!
Hi
*Note solve 7x + 4y = 15 + 2x for y in order to determine the slope of this line.
.

.
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

.
Simplify:

.
check your answer with point given (.5,.5)

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