SOLUTION: perpendicular lines, one that passes through the point (3,-4) and the other that passes through the point (7,2). please show your work

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Question 147812: perpendicular lines, one that passes through the point (3,-4) and the other that passes through the point (7,2). please show your work
Answer by ankor@dixie-net.com(12706) About Me  (Show Source):
You can put this solution on YOUR website!
perpendicular lines, one that passes through the point (3,-4) and the other that passes through the point (7,2).
:
Choose a convenient slope and write an equation for the (3,-4) coordinates
Let m1 = 2
:
y - (-4) = 2(x - 3)
y + 4 = 2x - 6
y = 2x - 6 - 4
y = 2x - 10 is one line
:
Slope relationship of perpendicular lines: m1*m2 = -1
The slope of the second equation:
2*m2 = -1
m2 = -1%2F2; coordinates (7,2)
:
y - 2 = -1%2F2(x - 7)
y - 2 = -1%2F2x + 7%2F2
y = -1%2F2x + 7%2F2 + 4%2F2
y = -1%2F2x + 11%2F2 is the 2nd line
:
Graphing this we have
+graph%28+300%2C+300%2C+-10%2C+12%2C+-10%2C+9%2C+2x-10%2C+-.5x%2B5.5%29+
:
You can check the equations by substituting the given values for x and finding y