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anonymous

  • 5 years ago

Write an equation of the line containing the given point and parallel to the given line. (-2,8); 7x=5y+6

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  1. shadowfiend
    • 5 years ago
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    If two lines are parallel, what is the relation between their slopes?

  2. anonymous
    • 5 years ago
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    are they equal distance?. i dunno im horrible with math, not one of my strong points

  3. shadowfiend
    • 5 years ago
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    It's okay :) Two parallel lines have equal slopes. So, y = 3x + 135 y = 3x + 2 Those two are parallel lines, because they the same slope (3). Let's focus on the problem below, since you'll have to use the same technique to get the equation they give you in y = mx + b form here.

  4. shadowfiend
    • 5 years ago
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    So now you have 7x = 5y + 6. Since we need the slope, we need to solve for y again.

  5. anonymous
    • 5 years ago
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    okay so would we need to subtract 6 from both sides?

  6. shadowfiend
    • 5 years ago
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    Yep, that's the first step.

  7. anonymous
    • 5 years ago
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    -6+7x=5y

  8. anonymous
    • 5 years ago
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    or 5y=7x-6

  9. shadowfiend
    • 5 years ago
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    Right. What's next?

  10. anonymous
    • 5 years ago
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    get the y by itself

  11. shadowfiend
    • 5 years ago
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    Exactly. So since the y is multiplied by 5, how do we get it by itself?

  12. anonymous
    • 5 years ago
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    divide

  13. shadowfiend
    • 5 years ago
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    Right. So we divide each part of the right by 5; what do we get?

  14. anonymous
    • 5 years ago
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    y=7/5x-6/5

  15. shadowfiend
    • 5 years ago
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    Boom! Exactly. So now we know what the slope of a parallel line would have to be. What is it?

  16. anonymous
    • 5 years ago
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    7/5

  17. shadowfiend
    • 5 years ago
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    Right. So now we'll need another equation that looks like: y = 7/5x + b Does that make sense?

  18. anonymous
    • 5 years ago
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    yea that does

  19. shadowfiend
    • 5 years ago
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    Ok, and now they've given us a point that the line goes through, so we can plug in the x and y and solve for b.

  20. anonymous
    • 5 years ago
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    okay so 8=7/5(-2)+b

  21. anonymous
    • 5 years ago
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    is that right

  22. anonymous
    • 5 years ago
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    Absolutely!

  23. anonymous
    • 5 years ago
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    So now what do I do?

  24. anonymous
    • 5 years ago
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    So we need to figure out what b is, right? How should we do that?

  25. anonymous
    • 5 years ago
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    um get b by itself?

  26. anonymous
    • 5 years ago
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    Exactly. So what's the first step?

  27. anonymous
    • 5 years ago
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    multiply 7/5(-2)

  28. anonymous
    • 5 years ago
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    Ok, what does that equal?

  29. anonymous
    • 5 years ago
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    -6/5

  30. anonymous
    • 5 years ago
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    Not quite. Remember you are multiplying 7/5 by -2. Do you know how to multiply fractions?

  31. anonymous
    • 5 years ago
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    not really is it common denominators at all?

  32. anonymous
    • 5 years ago
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    That is actually for adding and subtracting. Multiplication is much easier. You are multiplying 7/5 by -2. Remember that -2 is the same as -2/1, which means you have \[\frac{7}{5} \times \frac{-2}{1}\] then you just multiply straight across. What do you get?

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