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roberman228

  • 3 years ago

What is the equation in standard form of the line which passes through (-2, -3) and has a slope of 1/2? Give a medal to first that answers

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  1. roberman228
    • 3 years ago
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    @Mertsj

  2. Mertsj
    • 3 years ago
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    First write the equation of the line in point slope form and then rearrange it.

  3. roberman228
    • 3 years ago
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    ok one sec

  4. Mertsj
    • 3 years ago
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    Point slope form is: \[y-y _{1}=m(x-x _{1})\]

  5. roberman228
    • 3 years ago
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    y-(-3)=1/2x-(-1

  6. roberman228
    • 3 years ago
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    i have a few others i need help with

  7. roberman228
    • 3 years ago
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    i did that what is next i put it in to standard form but it never matches up with the answers they give you

  8. Mertsj
    • 3 years ago
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    \[y+2=\frac{1}{2}(x+2)\]

  9. roberman228
    • 3 years ago
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    how did you get 2, the y value is -3

  10. roberman228
    • 3 years ago
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    can you just do all the steps up to the last one and i can find the answer then

  11. Mertsj
    • 3 years ago
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    typo

  12. roberman228
    • 3 years ago
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    ok thats what i thought

  13. Mertsj
    • 3 years ago
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    \[y+3=\frac{1}{2}(x+2)\] \[y+3=\frac{1}{2}x +1\] \[\frac{1}{2}x-y=2\]

  14. Mertsj
    • 3 years ago
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    Or sometimes they want it without fractions in which case it would be: \[x-2y=4\]

  15. roberman228
    • 3 years ago
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    so the answer is x-2y=4

  16. roberman228
    • 3 years ago
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    To which graph does the point (2, -3) belong? Choose one answer. a. y > -x - 2 b. y > -x - 1 c. y > -2x + 3 d. y > -3x + 5 here is another i need help with

  17. Mertsj
    • 3 years ago
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    Did you plug in 2 for x and -3 for y and see which one is true?

  18. roberman228
    • 3 years ago
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    i don't know what i am looking for though

  19. Mertsj
    • 3 years ago
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    -3>-2-2, -3>-4 Well shazam!! the very first one is true.

  20. roberman228
    • 3 years ago
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    ha ha i was right that is what i thought it was 2 more

  21. roberman228
    • 3 years ago
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    What is the equation of the line in standard form that passes through the point (3, -2) and is parallel to the line y = -4x + 1?

  22. Mertsj
    • 3 years ago
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    Do you know that parallel lines have the same slope?

  23. Mertsj
    • 3 years ago
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    So this is just like the first one with slope = -4

  24. roberman228
    • 3 years ago
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    so it would look like y-(-2)=-4(x-3)

  25. Mertsj
    • 3 years ago
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    \[y+2=-4(x-3)\]

  26. Mertsj
    • 3 years ago
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    yep. Now rearrange it.

  27. roberman228
    • 3 years ago
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    -5x+y=14 is that the answer

  28. Mertsj
    • 3 years ago
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    \[y+2=-4x+12\] \[4x+y=10\]

  29. roberman228
    • 3 years ago
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    one more

  30. roberman228
    • 3 years ago
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    acctually 2 more

  31. roberman228
    • 3 years ago
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    What is the equation of the line in slope-intercept form that passes through the point (3, -1) and is perpendicular to the line y = x + 1?

  32. Mertsj
    • 3 years ago
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    What is the slope of y = x+1?

  33. roberman228
    • 3 years ago
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    1

  34. roberman228
    • 3 years ago
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    \[y+1=2x-3\]

  35. roberman228
    • 3 years ago
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    \[y=2x-4\]

  36. roberman228
    • 3 years ago
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    is that the answer

  37. Mertsj
    • 3 years ago
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    You didn't answer my question. what is the slope of y=x+1?

  38. roberman228
    • 3 years ago
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    1

  39. Mertsj
    • 3 years ago
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    Then what is the slope of the perpendicular?

  40. Mertsj
    • 3 years ago
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    Hint. It is the negative reciprocal of 1

  41. roberman228
    • 3 years ago
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    -1

  42. Mertsj
    • 3 years ago
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    ok. Now use point slope form and plug in the given point and the slope -1

  43. roberman228
    • 3 years ago
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    alright one sec

  44. roberman228
    • 3 years ago
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    y+1=-2x+3

  45. Mertsj
    • 3 years ago
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    \[y+1=-1(x-3)\] y+1=-x+3 \[y=-x+2\]

  46. roberman228
    • 3 years ago
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    y=x+2 is the answer

  47. Mertsj
    • 3 years ago
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    Did you notice the negative sign in front of the x?

  48. roberman228
    • 3 years ago
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    What is the vertex of the graph of y = |x - 2|- 5? last one

  49. roberman228
    • 3 years ago
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    yes typo

  50. Mertsj
    • 3 years ago
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    Remember...the slope of the perpendicular is -1

  51. Mertsj
    • 3 years ago
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    (2,-5)

  52. roberman228
    • 3 years ago
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    one more

  53. roberman228
    • 3 years ago
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    never mind thank you so much

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