SOLUTION: What is the slope-intercept equation of the line with the following properties: perpendicular to the line 3x+2y=31 containing (7,-5)

Question 737348: What is the slope-intercept equation of the line with the following properties: perpendicular to the line 3x+2y=31 containing (7,-5)
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
What is the slope-intercept equation of the line with the following properties: perpendicular to the line 3x+2y=31 containing (7,-5)
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Equation of a line: y=mx+b, m=slope, b=y-intercept
Given equation:
3x+2y=31
2y=-3x+31
y=-3x/2+31/2
slope,m=-3/2
..
slope of perpendicular line=2/3 (negative reciprocal)
Equation: y=2x/3+b
solve for b using coordinates of given point (7,-5)
-5=2*7/3+b
b=-5-14/3=-29/3
Equation of perpendicular line: y=2x/3-29/3
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