SOLUTION: HELP WITH ALGEBRAIC PROBLEMS!!!
Write the equation of a line parallel to the given line but passing through the given point.
y=1/4x-2;(8,-1).
Write the equation of a line p
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Question 969250: HELP WITH ALGEBRAIC PROBLEMS!!!
Write the equation of a line parallel to the given line but passing through the given point.
y=1/4x-2;(8,-1).
Write the equation of a line perpendicular to the given line but passing through the given point.
y=-4x-5;(0,-1)
Can you please show the steps through out the whole process? I am not sure how to do this without coming up with different answers each time.
Found 3 solutions by stanbon, Fombitz, josmiceli:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Write the equation of a line parallel to the given line but passing through the given point.
y=1/4x-2;(8,-1).
----
The given equation has slope = 1/4.
Any line parallel to it must have slope = 1/4
----
Form of your equation:
y = mx + b
Solve for "b"::
-1 = (1/4)8 + b
-1 = 2 + b
b = -3
---
Ans: y = (1/4)x - 3
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Write the equation of a line perpendicular to the given line but passing through the given point.
y=-4x-5;(0,-1)
The given equation has slope = -4
Any line perpendicular to it must have slope = 1/4
Form::
y = mx + b
Solve for "b"::
-1 = (1/4)*0 + b
b = -1
Ans: y = (1/4)x - 1
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Cheers,
Stan H.
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Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Parallel lines have identical slopes.
Use the point-slope form with the point.
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Perpendicular lines have slopes that are negative reciprocals.
Again, point slope form,
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Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
(8, -1 )
Any line parallel to the given line must
have slope =
-----------------------
Use general point-slope formula
Multiply both sides by
-----------------
check:
does it go through ( 8, -1 ) ?
OK
==========================
( 0,-1 )
Any line perpendicular to the given
line will have slope =
---------------
Use general point-slope formula
Multiply both sidesby
---------------------
check:
does it go through ( 0, -1 ) ?
OK
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