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anonymous

  • one year ago

Find the standard form of the equation of the line.

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  1. anonymous
    • one year ago
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    27) (2,5) (5,7)

  2. misty1212
    • one year ago
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    is it as easy as the last one?

  3. misty1212
    • one year ago
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    oh no it is not did you get the slope?

  4. anonymous
    • one year ago
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    Yes. The slope is 2/3.

  5. anonymous
    • one year ago
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    I know I use this formula. Y=mx+b

  6. misty1212
    • one year ago
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    ok then use the point slope formula pick a point

  7. anonymous
    • one year ago
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    Okay. (2,5).

  8. misty1212
    • one year ago
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    no dear we are not going to use that, we are going to so something else pick a point from the two you have

  9. anonymous
    • one year ago
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    Oh. Okay!

  10. misty1212
    • one year ago
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    ok now write \[y-y_1=m(x-x_1)\] with \[x_1=2,y_1=5,m=\frac{3}{2}\]

  11. misty1212
    • one year ago
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    oops i meant \(m=\frac{2}{3}\)

  12. misty1212
    • one year ago
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    you should be looking at \[y-5=\frac{2}{3}(x-2)\] right?

  13. anonymous
    • one year ago
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    i already did that and got y=(2/3)x+(11/3)

  14. misty1212
    • one year ago
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    now if you were going to write this in "point slope" form you would solve for \(y\) but you want "standard form" \[ax+by=c\]

  15. anonymous
    • one year ago
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    Oh.

  16. misty1212
    • one year ago
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    yeah but you went too far you got it in slope intercept form you were asked for standard form

  17. misty1212
    • one year ago
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    lets start here \[y-5=\frac{2}{3}(x-2)\] it i easier

  18. misty1212
    • one year ago
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    multiply both sides by \(3\) to get \[3y-15=2(x-2)\]

  19. misty1212
    • one year ago
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    notice of course you have to multiply both sides by 3

  20. misty1212
    • one year ago
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    then distribute \[3y-15=2x-4\]

  21. misty1212
    • one year ago
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    put all the variables on one side, numbers on the other get \[3y-2x=11\] or \[2x-3y=-11\] that is "standard form"

  22. anonymous
    • one year ago
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    You're right! Gosh, I thought I didn't take it far enough but I went way too far. Thank you again, Misty!

  23. misty1212
    • one year ago
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    \[\color\magenta\heartsuit\]

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