SOLUTION: The line passes through (-1, 2) and 1/3m What is the equation for this? The line parallel to y = 1/2x -2 and passes through (1, 3). what is the equation for this? The l

Algebra ->  Graphs -> SOLUTION: The line passes through (-1, 2) and 1/3m What is the equation for this? The line parallel to y = 1/2x -2 and passes through (1, 3). what is the equation for this? The l      Log On


   

Question 329565: The line passes through (-1, 2) and 1/3m
What is the equation for this?
The line parallel to y = 1/2x -2 and passes through (1, 3).
what is the equation for this?
The line perpendicular to y = 3x +2 passing through (-2, 2).
what is the equation for this?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
You mean m=1/3?
y=%281%2F3%29x%2Bb
USe (-1,2) to solve for b
2=%281%2F3%29%281%29%2Bb
b=5%2F3
highlight%28+y=%281%2F3%29x%2B7%2F3%29+

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Parallel lines have identical slopes.
y=%281%2F2%29x%2Bb
3=%281%2F2%29%281%29%2Bb
b=5%2F2
highlight%28y=%281%2F2%29x%2B5%2F2%29

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Perpendicular lines have slopes that are negative reciprocals,
m1%2Am2=-1
3%2Am2=-1
m2=-1%2F3
y=-%281%2F3%29x%2Bb
2=-%281%2F3%29%28-2%29%2Bb
b=4%2F3
highlight%28y=-%281%2F3%29x%2B8%2F3%29