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anonymous

  • one year ago

Write the equation of the line that passes through the points (3,2) and (2,3)

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  1. pooja195
    • one year ago
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    First we need to find the slope

  2. pooja195
    • one year ago
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    \[\huge~\rm~\frac{ y_2-y_1 }{ x_2-x_1 }=slope\]

  3. anonymous
    • one year ago
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    1/-1

  4. pooja195
    • one year ago
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    Or in other words just -1 what form do they want the equation in?

  5. anonymous
    • one year ago
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    y=mx+b

  6. pooja195
    • one year ago
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    oh ok so now we use the point slope equation \[\huge~\rm~y-y_1=m(x-x_1)\] (x1,y1)=(3,2) m=slope which is -1 just plug in the given information and solve for y

  7. anonymous
    • one year ago
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    what would x be?

  8. texaschic101
    • one year ago
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    or you can use y = mx + b...either formula will work

  9. pooja195
    • one year ago
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    x and y are just there they help to figure out the slope and the equation

  10. pooja195
    • one year ago
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    or you can use @texaschic101 's method

  11. texaschic101
    • one year ago
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    and you x and y points.....you can use either set (3,2) or (2,3)

  12. texaschic101
    • one year ago
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    which formula do you want to proceed with ?

  13. anonymous
    • one year ago
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    y=-3+b... im stuck\

  14. anonymous
    • one year ago
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    y=mx+b (3,2)

  15. texaschic101
    • one year ago
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    you forgot about your slope(m) of -1

  16. anonymous
    • one year ago
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    i did -1(3)

  17. texaschic101
    • one year ago
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    y = mx + b slope(m) = -1 (3,2)...x = 3 and y = 2 now we sub 2 = -1(3) + b 2 = -3 + b -- add 3 to both sides 2 + 3 = b 5 = b so your line is : y = -1x + 5 or just y = -x + 5 but if you sub in your other set of points..(2,3) 3 = -1(2) + b 3 = -2 + b 3 + 2 = b 5 = b same thing....y = -x + 5 so either of your points will give you this answer

  18. texaschic101
    • one year ago
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    questions ?

  19. texaschic101
    • one year ago
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    now if they wanted the answer is point-slope form you would use : y - y1 = m(x - x1). You could also use it for this problem but you would eventually have to change it to y = mx + b form

  20. anonymous
    • one year ago
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    no that explains it.

  21. texaschic101
    • one year ago
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    glad to help...but please give medal to pooja195....I kinda took over her explaining...should not have done that.

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