SOLUTION: Write an equation of the line perpendicular to the line given by 2x + 3y = 7 and having the same y-intercept as the line given by 5x + 2y = 10.

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Question 476931: Write an equation of the line perpendicular to the line given by 2x + 3y = 7 and having the same y-intercept as the line given by 5x + 2y = 10.
Answer by lwsshak3(11628) (Show Source):
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Write an equation of the line perpendicular to the line given by 2x + 3y = 7 and having the same y-intercept as the line given by 5x + 2y = 10
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2x + 3y = 7
5x + 2y = 10
convert given equations to standard form for a straight line: y=mx+b, m=slope, b=y-intercept
3y=-2x+7
y=-2x/3+7/3
slope=-2/3
..
2y=-5x+10
y=-5x/2+10/2
y=-5x/2+5
y-int=5
...
For line perpendicular to first equation and having the y-int of the second equation:
Equation:y=mx+b
m=negative reciprocal of slope of first equation=3/2
b=5 (y-int of second equation)
Equation:
y=3x/2+5