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oholmes

  • 2 years ago

(GEOMETRY, HELP PLEASE) Write the equation of the line with a slope of 3/7 passing through the point (9 -2)

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  1. Chlorophyll
    • 2 years ago
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    Show me the slope form ....?

  2. ParthKohli
    • 2 years ago
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    \[y - y_1 = m(x - x_1) \]Here,\[m = {3 \over 7} \\ y_1 = -2\\x_1 = 9\]

  3. oholmes
    • 2 years ago
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    what is x?

  4. oholmes
    • 2 years ago
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    I got y=3/7x-2

  5. hal_stirrup
    • 2 years ago
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    hi

  6. oholmes
    • 2 years ago
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    hi

  7. hal_stirrup
    • 2 years ago
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    did you get it

  8. CliffSedge
    • 2 years ago
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    \[y=mx+b, y=-2, x=9, m=3/7\] Solve for b.

  9. ParthKohli
    • 2 years ago
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    Leave \(x\) and \(y\) just like \(x\) and \(y\).

  10. oholmes
    • 2 years ago
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    ok

  11. oholmes
    • 2 years ago
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    I got y=3/7x-2

  12. CliffSedge
    • 2 years ago
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    \[-2=\frac{3}{7}(9)+b, b=?\] And you got b=-2?

  13. oholmes
    • 2 years ago
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    9?

  14. oholmes
    • 2 years ago
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    @CliffSedge

  15. CliffSedge
    • 2 years ago
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    You can also use the equation Parth gave: \[y−y_1=m(x−x_1) \rightarrow y−(-2)=\frac{3}{7}(x−(9))\]

  16. CliffSedge
    • 2 years ago
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    Assuming you've studied algebra before, this should look familiar.

  17. oholmes
    • 2 years ago
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    2x-9= -3/7

  18. CliffSedge
    • 2 years ago
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    Ok, let's back way up then. The point is (9, -2) which means that at a particular point on the line, x=9, and y=-2. The slope is 3/7 which means from any point on the line, you can go up 3 units then to the right 7 units and find another point on the line.

  19. CliffSedge
    • 2 years ago
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    An equation of the line will be such that you can take the x and y coordinates from any point on the line and put them into the equation and make it a true statement. The slope is found by dividing the difference between the y coordinates of two points by the difference between the x coordinates of those two points (rise-over-run).

  20. oholmes
    • 2 years ago
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    This time is got 3x-7y=41

  21. oholmes
    • 2 years ago
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  22. oholmes
    • 2 years ago
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    quick question, what type of triangle is RST?

  23. CliffSedge
    • 2 years ago
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    That looks better. You can test it by putting in the x and y coordinates from your point and seeing if it makes the statement true. i.e. 3(9)-7(-2)=?

  24. oholmes
    • 2 years ago
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    41

  25. oholmes
    • 2 years ago
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    Okay great! thank you

  26. CliffSedge
    • 2 years ago
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    Good, then the equation is true. For triangle RST, do you know how to measure the sides using the distance formula (i.e. the pythagorean theorem)? As a hint, notice the symmetry and how the sides RS and RT look to be the same length.

  27. oholmes
    • 2 years ago
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    is it isoscles?

  28. CliffSedge
    • 2 years ago
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    That would be a good guess. I'd probably still measure to make sure it wasn't equilateral. Can you see how long segment ST is?

  29. oholmes
    • 2 years ago
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    I cant tell

  30. CliffSedge
    • 2 years ago
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    The coordinates of points S and T are given. S is at (-4,7) and T is at (4,7). They are both at the height y=7, so it is a straight horizontal like going from x=-4 to x=4. How far is that?

  31. oholmes
    • 2 years ago
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    I got isoscles. I check

  32. CliffSedge
    • 2 years ago
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    Ok, I just want to make sure you know how to handle these questions in general in case you see a similar problem, that isn't so easy to solve.

  33. CliffSedge
    • 2 years ago
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    There are particular skills and knowledge that these questions are testing from you. It is important that you have these basic skills proficiently so that you can move on to more difficult problems.

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