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HELP!!!!

  • one year ago

Help me graph the line through the point P having slope m. Find the coordinates of two other points on the line. 34. P(-3,-1), m=0.75

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  1. HELP!!!!
    • one year ago
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    @Loser66 @SolomonZelman @zepdrix @Hero @Jaynator495

  2. zepdrix
    • one year ago
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    Since we're given a `slope` and a `point`, it's probably best to write the equation for our line in `point slope form`.

  3. zepdrix
    • one year ago
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    So here is what point-slope looks like:\[\large\rm y-\color{orangered}{y_o}=m(x-\color{orangered}{x_o})\]Where \(\large\rm (\color{orangered}{x_o},~\color{orangered}{y_o})\) is the given point.

  4. zepdrix
    • one year ago
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    Plugging in our values gives us,\[\large\rm y-\color{orangered}{(-3)}=0.75(x-\color{orangered}{(-1)})\]Simplifies to,\[\large\rm y+3=0.75(x+1)\]

  5. zepdrix
    • one year ago
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    This will help us find other points on the line.

  6. HELP!!!!
    • one year ago
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    nice! Thanks for the clarification!

  7. zepdrix
    • one year ago
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    To graph it easily, we just need one more point. Then we can draw a line through the two points.

  8. HELP!!!!
    • one year ago
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    Yup I figured. I just got confused when it asked me to find another sets of points

  9. zepdrix
    • one year ago
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    Ahh woops! I plugged the numbers in backwards!! :O Notice I plugged the -3 into the y.

  10. zepdrix
    • one year ago
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    \[\large\rm y+1=0.75(x+3)\]My bad >.< Our point was this: \(\large\rm P(-3,-1)\) It was NOT this \(\large\rm (-1,-3)\) which is what I plugged in at the start.

  11. zepdrix
    • one year ago
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    So we need another point? Hmm... Let's plug in x=0 and see if we can come up with something.

  12. zepdrix
    • one year ago
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    \[\large\rm y+1=0.75(0+3)\]So we're currently working on finding this point: \(\large\rm (0,?)\) We're choosing 0 for x, and we're going to solve this equation for y to see the corresponding coordinate value.

  13. zepdrix
    • one year ago
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    Understand how to solve for y in that setup? :o

  14. HELP!!!!
    • one year ago
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    Yuup! Also could you help me out with a word problem related to slope?

  15. HELP!!!!
    • one year ago
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    A ramp to provide handicapped people access to a certain building is to be constructed with a slope of 5%. If the entrance to the building is 3 ft above ground level, how long should the base of the ramp be?

  16. zepdrix
    • one year ago
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    \(\large\rm m=5\text{%}\) So it would be nice if we could write this as an actual number, not a percentage. Do you remember how to convert it? :)

  17. HELP!!!!
    • one year ago
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    hmm is it out of 100? I have no clue

  18. zepdrix
    • one year ago
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    Yes, `per` `cent` means `per` `100`. Think of the word `century`, which measures 100 years. So 5% means, 5 per 100. So we can write that as a fraction: \(\dfrac{5}{100}\)

  19. HELP!!!!
    • one year ago
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    so thats the slope?

  20. zepdrix
    • one year ago
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    \[\large\rm m=\frac{5}{100}\]Yes, that's the slope. Let's simplify it down. Both top and bottom are divisible by 5.

  21. HELP!!!!
    • one year ago
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    so 1/20

  22. zepdrix
    • one year ago
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    |dw:1443660767334:dw|

  23. HELP!!!!
    • one year ago
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    wOw nice drawing!

  24. zepdrix
    • one year ago
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    |dw:1443660878426:dw|

  25. zepdrix
    • one year ago
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    Do you remember your slope formula? Finding the slope of a line, given two points?

  26. HELP!!!!
    • one year ago
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    y2-y1/x2-x1 so x-0/3-0 =x/3?

  27. HELP!!!!
    • one year ago
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    ops nvm m=3/x

  28. zepdrix
    • one year ago
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    Mmm ok good! \[\large\rm m=\frac{y_2-y_1}{x_2-x_1}=\frac{3-0}{x-0}\]But recall that we actually KNOW the value of m, let's plug it in!\[\large\rm \frac{1}{20}=\frac{3}{x}\]And solve for x.

  29. HELP!!!!
    • one year ago
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    x=60!

  30. zepdrix
    • one year ago
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    yay good job \c:/ now the guy in the chair can safely get up the ramp

  31. zepdrix
    • one year ago
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    or down

  32. HELP!!!!
    • one year ago
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    Thanks for the major help! There needs to be more people like you

  33. zepdrix
    • one year ago
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    :3

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