SOLUTION: Hi, can someone check my answers? Thanks! Find the equation of the line that contains the point (3,2) and that is: a) parallel to the line containing the points (3,6) and (

Algebra ->  Linear-equations -> SOLUTION: Hi, can someone check my answers? Thanks! Find the equation of the line that contains the point (3,2) and that is: a) parallel to the line containing the points (3,6) and (      Log On


   

Question 1024838: Hi, can someone check my answers? Thanks!
Find the equation of the line that contains the point (3,2) and that is:
a) parallel to the line containing the points (3,6) and (6,-9)
I got the answer y=-5x+17 by finding the slope first and then substituting the points (3,2) into the y=mx+b equation and solving for b.
b) perpendicular to the line containing the points (3,6) and (6,-9)
So the equation is the same as above except for the slope and I ended up getting y=-1/5x+13/5.
How does that look?
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Your strategy reads well and you should be able to judge if your answer is good or bad. For part (a), perpendicular lines means what? Parallel means what? Make a sketch or try imagining the sketch in your head.


Two points, formula for slope: m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29.

Slope of the given two points: %28-9-6%29%2F%286-3%29=-15%2F3=-5.


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The parallel line containing (3,2)?
y=mx%2Bb
y-mx=b
b=y-mx
highlight%28y=-5x%2B%282-%28-5%29%2A3%29%29

The perpendicular line containing (3,2)?
highlight%28y=%281%2F5%29x%2B%282-%281%2F5%29%2A3%29%29
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Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

Hi, can someone check my answers? Thanks!
Find the equation of the line that contains the point (3,2) and that is:
a) parallel to the line containing the points (3,6) and (6,-9)
I got the answer y=-5x+17 by finding the slope first and then substituting the points (3,2) into the y=mx+b equation and solving for b.
b) perpendicular to the line containing the points (3,6) and (6,-9)
So the equation is the same as above except for the slope and I ended up getting y=-1/5x+13/5.
How does that look?
"a" is correct. Good job!

However, "b" is: highlight_green%28y+=+%281%2F5%29x+%2B+7%2F5%29