SOLUTION: Hello, I need help with my summer assignment. It's a two-part question. The first part says, "parallel to {{{ y=2x+1 }}} goes through (5,4)". I tried looking it up and I was able t

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!
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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

-
, 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): You can put this solution on YOUR website!
.

Learn the subject from these two lessons

    - Equation for a straight line parallel to a given line and passing through a given point
    - Equation for a straight line perpendicular to a given line and passing through a given point

Consider these lessons as your textbook, handbook, tutorials and (free of charge) home teacher.

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