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anonymous

  • 4 years ago

Find the equation of the line that is parallel to the line 2x-3y=-4 containing the point (-5,3)

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  1. karatechopper
    • 4 years ago
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    first you want to get it in slope intercept form

  2. anonymous
    • 4 years ago
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    ok

  3. karatechopper
    • 4 years ago
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    slope intercept form= y=mx+b

  4. karatechopper
    • 4 years ago
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    lets put this in slope intercept form! 2x-3y=-4 subtract 2x on both sides -3y=-2x-4 divide by negative 3 on both sides y-2/3x+4/3

  5. karatechopper
    • 4 years ago
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    mak that be y=2/3x+4/3

  6. saifoo.khan
    • 4 years ago
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    Ok, so we will start from solving that given line First of all, solve that line in the form of y=mx+c Where "m" is the slope. Note: Parallel line means same slope. 2x-3y=-4 Solve for y \[3y = 2x +4\]\[y = \frac23x + \frac43\] Comparing this with y=mx+c Slope is "m", so slope we get is 2/3. Now insert the point given and the slope in the formula, (i.e. slope and (-5,2) \[y-y_1 = m(x-x_1)\] \[y - 2 = \frac23 (x-(-5))\] Im sure u can solve now! :)

  7. karatechopper
    • 4 years ago
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    so now lets use a formula called point slope form. do you know the formula for that?

  8. anonymous
    • 4 years ago
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    how do you get y-2?

  9. saifoo.khan
    • 4 years ago
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    It's given in the question, Point (-5,2)

  10. anonymous
    • 4 years ago
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    its (-5,3)

  11. saifoo.khan
    • 4 years ago
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    Oh sorry. i overread. make it 3 please.

  12. anonymous
    • 4 years ago
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    \[y−2=2/3(x−(−5))\] y=2/3x +5.33

  13. saifoo.khan
    • 4 years ago
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    i prefer writing that in fractions

  14. anonymous
    • 4 years ago
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    is that the correct answer?

  15. saifoo.khan
    • 4 years ago
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    Nope.

  16. anonymous
    • 4 years ago
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    whats the answer?

  17. saifoo.khan
    • 4 years ago
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    \[y = \frac23 x+\frac{19}{3}\]

  18. anonymous
    • 4 years ago
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    its not 19/3. (2/3)*5+2= 5.33

  19. saifoo.khan
    • 4 years ago
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    hold on..

  20. anonymous
    • 4 years ago
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    ok?

  21. saifoo.khan
    • 4 years ago
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    lol, u made a mistake, (2/3)5 + 3

  22. anonymous
    • 4 years ago
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    hahah wow. Thanks for catching that!

  23. saifoo.khan
    • 4 years ago
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    ;]

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