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anonymous

  • one year ago

A line passes through the point (–3, –4) and its y-intercept is (0, –9). What is the equation of the line that is parallel to the first line and passes through the point (3, –7)?

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  1. midhun.madhu1987
    • one year ago
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    |dw:1437711431685:dw| First find the Slope of the First Line using the formula: Slope, m = (y2-y1)/(x2-x1) The slope of second line and first line will be Equal. Because parallel lines have equal slope. once you get the slope of second line, the equation can be written : y - y1 = m(x - x1)

  2. midhun.madhu1987
    • one year ago
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    |dw:1437711852579:dw|

  3. anonymous
    • one year ago
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    im not sure i understand

  4. JoannaBlackwelder
    • one year ago
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    Can you find the slope of the first line?

  5. anonymous
    • one year ago
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    im confused with the whole thing, i dont understand any of it

  6. JoannaBlackwelder
    • one year ago
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    Ok, are you familiar with this formula? |dw:1437712598401:dw|

  7. JoannaBlackwelder
    • one year ago
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    Where m is slope of a line

  8. anonymous
    • one year ago
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    yes!

  9. JoannaBlackwelder
    • one year ago
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    Great! :-) Can you plug in the two points given for the first line to find the slope?

  10. anonymous
    • one year ago
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    do you mean (-3,-4) & (0,-9) ?

  11. JoannaBlackwelder
    • one year ago
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    Yep

  12. anonymous
    • one year ago
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    is it y=5/3x-2 ?

  13. JoannaBlackwelder
    • one year ago
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    Hm, I get the slope to be -5/3|dw:1437713469475:dw|

  14. midhun.madhu1987
    • one year ago
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    |dw:1437713498055:dw| this is what @JoannaBlackwelder tried to say... you need to susbstitute the values of x1, x2, y1, y2

  15. JoannaBlackwelder
    • one year ago
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    And the slope of parallel lines is equal. :-)

  16. JoannaBlackwelder
    • one year ago
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    So, the slope of the other line is also -5/3. Making sense so far?

  17. anonymous
    • one year ago
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    was i close ?

  18. JoannaBlackwelder
    • one year ago
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    Yes, but your slope was off.

  19. JoannaBlackwelder
    • one year ago
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    Any ideas on finding the equation of the second line, using the slope of -5/3 and the point (3,-7)

  20. anonymous
    • one year ago
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    okay one question, if a slope of a line is -1/2 the slope that is parallel to it would be -2 right?

  21. anonymous
    • one year ago
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    or would it be just 2?

  22. JoannaBlackwelder
    • one year ago
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    Parallel lines have the exact same slope

  23. anonymous
    • one year ago
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    so it would be -1/2 ?

  24. JoannaBlackwelder
    • one year ago
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    Right.

  25. JoannaBlackwelder
    • one year ago
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    Perpendicular lines have negative reciprocal slopes is what I think you were thinking about before.

  26. anonymous
    • one year ago
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    could you help with this one as well? The equation of a line is y = 2x + 3. What is the equation of the line that is parallel to the first line and passes through (2, –1)?

  27. JoannaBlackwelder
    • one year ago
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    Sure, can you tell what the slope of the line given is?

  28. anonymous
    • one year ago
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    m=2x ?

  29. JoannaBlackwelder
    • one year ago
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    Close, just the 2 is the slope.

  30. JoannaBlackwelder
    • one year ago
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    Now, we need to use that slope since the lines are parallel and the point (2,-1) to find the new equation of the line.

  31. anonymous
    • one year ago
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    okay how do i set up the equation?

  32. JoannaBlackwelder
    • one year ago
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    We use the general formula y=mx+b

  33. JoannaBlackwelder
    • one year ago
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    Plug in m, and the x and y coordinate we have

  34. JoannaBlackwelder
    • one year ago
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    |dw:1437716031316:dw|

  35. JoannaBlackwelder
    • one year ago
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    And solve for b

  36. JoannaBlackwelder
    • one year ago
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    Can you find b?

  37. anonymous
    • one year ago
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    2(2) would turn into 4x right? would i then divide that by -1 to get b?

  38. JoannaBlackwelder
    • one year ago
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    Close

  39. JoannaBlackwelder
    • one year ago
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    |dw:1437716846824:dw|

  40. JoannaBlackwelder
    • one year ago
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    |dw:1437716867087:dw|

  41. JoannaBlackwelder
    • one year ago
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    Make sense?

  42. anonymous
    • one year ago
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    Yes ! that make sense!

  43. JoannaBlackwelder
    • one year ago
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    Awesome! So then we can plug in m and b to make y=2x+(-6)

  44. JoannaBlackwelder
    • one year ago
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    or y=2x-6

  45. anonymous
    • one year ago
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    right !

  46. JoannaBlackwelder
    • one year ago
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    :-D

  47. anonymous
    • one year ago
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    thank you so much !!

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