Question 1182776: Hello, I need help with my summer assignment. It's a two-part question. The first part says, "parallel to  goes through (5,4)". I tried looking it up and I was able to plug the 4 in for y, and the five in for x which gave me  goes through (12,2)". I also tried to look this up and I got something about reciprocal so, so far I have  but I know this isn't correct so I need help with these. Thank you
Again, the two-part problem is below:
"parallel to goes through (5,4)"
"perpendicular to  goes through (12,2)"
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39614)   (Show Source):
You can put this solution on YOUR website! --------------------------------------------------------------
The first part says, "parallel to y=2x+1 goes through (5,4)".
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 , slope still 2, because wanted is "parallel".
 , the point coordinates substituted
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 , equation for the asked-for line
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The SECOND PART: "perpendicular to  goes through (12,2)"
Which is a separate exercise.
For perpendicular lines in the plane, one being  , the other line's slope needs to be some m so that
 ; you calculate what this m value is. You should be able to do the rest then. One way is to use
 , and substitute your given point to evaluate b.
Answer by ikleyn(52756)  (Show Source):
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