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courtney

  • 5 years ago

what is the equationof a line with a slope -3/4 passing through the point (-2,-10)

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  1. anonymous
    • 5 years ago
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    The equation of a line is y=mx+b. You are given an x, a y and an m. You can then solve for b. Then write the equation as y=(m you are given)x+(b you solved for)

  2. Courtney
    • 5 years ago
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    i dont get math at all and you just confused me a whole lot

  3. anonymous
    • 5 years ago
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    Sorry. The equation of any like is y=mx+b where m is the slope and b is the y-intercept. They give you the slope which is m and the coordinates (-2,-10) are in the form (x,y). That means they gave you the values for m, x and y. So now you have -10=(-3/4)(-2)+b. You then solve for b. Then write the equation as y=(m which is the slope)x+(b you solved for)

  4. anonymous
    • 5 years ago
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    line*

  5. Courtney
    • 5 years ago
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    ok can you explain the very last part again

  6. anonymous
    • 5 years ago
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    Sure. So now you solved for b and you are given m. y and x remain as variables though. So you write y=mx+b but plug in the m they gave you and the b you solved for. The x and y remain as just x and y.

  7. Courtney
    • 5 years ago
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    ok i still dont get it could you just give me the answer please lol

  8. anonymous
    • 5 years ago
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    I really want you to get it =/ -10=(-3/4)(-2)+b. You then solve for b. y=mx+b y=(-3/4)x-(23/2) Hope you see how i got to that

  9. Courtney
    • 5 years ago
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    no but could you help me with something else

  10. anonymous
    • 5 years ago
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    At what step do you get lost.

  11. Courtney
    • 5 years ago
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    basically the whole thing sorry

  12. anonymous
    • 5 years ago
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    So you know that the equation of any line is y=mx+b. Where m is the slope of the line and b is the point where it crosses the y axis, right.

  13. Courtney
    • 5 years ago
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    yea

  14. anonymous
    • 5 years ago
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    So in the problem they give you the slope and the coordinate of a point that is supposed to be on this line. So they give you m a certain x and a certain y

  15. Courtney
    • 5 years ago
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    uhh ok im getting lost

  16. anonymous
    • 5 years ago
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    "what is the equation of a line with a slope -3/4 passing through the point (-2,-10)" Slope is -3/4. Since slope is the m value we have y=(-3/4)x+b, right.

  17. Courtney
    • 5 years ago
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    im really bad at math so sorry if im wasting your time

  18. anonymous
    • 5 years ago
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    Don't worry about it. Do you get what i did on the last step though? we had y=mx+b as the equation of the line. They told us the slope which is m so I just plugged it in.

  19. Courtney
    • 5 years ago
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    ok sort of

  20. anonymous
    • 5 years ago
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    So we have y=(-3/4)x+b. Now they tell us that this point (-2,-10) is on the line. The point is written in the form (x,y). Ok so far?

  21. Courtney
    • 5 years ago
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    ok u can keep goin

  22. anonymous
    • 5 years ago
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    So we know that since this point is on the line, it makes the equation of the line true. This means that -10=m(-2)+b. Since we are also given m, we have -10=(-3/4)(-2)+b.

  23. Courtney
    • 5 years ago
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    ok im starting to get it

  24. anonymous
    • 5 years ago
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    Now we can solve for b since everything else is just numbers. -10=(3/2)+b. -10-(3/2)=b b=-23/2 So now we have m=-3/4 and b=-23/2

  25. Courtney
    • 5 years ago
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    ok

  26. anonymous
    • 5 years ago
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    Now since the equation of the line is just y=mx+b where y and x are variables, we have all the information we need. Now we just plug them in: y=(-3/4)x+(-23/2) y=(-3/4)x-(23/2)

  27. Courtney
    • 5 years ago
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    ok is that all

  28. anonymous
    • 5 years ago
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    Yup. You now have the equation of the line that has a slope -3/4 passing through the point (-2,-10)

  29. Courtney
    • 5 years ago
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    omg thank u so much are you an adult

  30. anonymous
    • 5 years ago
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    No problem Almost :P. Still in high school

  31. Courtney
    • 5 years ago
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    oh ill be in highschool this coming year

  32. Courtney
    • 5 years ago
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    are you on facebook

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