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math_crasher

  • 3 years ago

Can someone pls tell me whether the graphs of the lines will be collinear, parallel, or intersecting? y= 4x+1 y=4x-3

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  1. jim_thompson5910
    • 3 years ago
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    What are the slopes of each line?

  2. pitankar
    • 3 years ago
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    intersecting

  3. math_crasher
    • 3 years ago
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    why?

  4. jim_thompson5910
    • 3 years ago
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    no, the lines aren't intersecting

  5. math_crasher
    • 3 years ago
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    I just need the explaination of the formula to tell whether or not it is parallel or intersecting and col linear

  6. jim_thompson5910
    • 3 years ago
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    What are the slopes of each line?

  7. math_crasher
    • 3 years ago
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    thats all it is given, theres a formula for solving but I don't know it.

  8. jim_thompson5910
    • 3 years ago
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    Hint: the equation y = mx+b has the slope m

  9. jim_thompson5910
    • 3 years ago
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    ex: y = 9x + 20 has the slope of 9

  10. pitankar
    • 3 years ago
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    sorry the lines are not intersecting. Extremely sorry, I made a mistake. They have same slopes, so they should be parallel.

  11. math_crasher
    • 3 years ago
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    I guess its four right? thats fine

  12. jim_thompson5910
    • 3 years ago
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    4 is the slope, yes

  13. jim_thompson5910
    • 3 years ago
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    since the slope is 4 for both of the lines, the lines are either parallel or collinear

  14. jim_thompson5910
    • 3 years ago
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    the two lines are collinear if and only if the two y-intercepts are the same

  15. jim_thompson5910
    • 3 years ago
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    otherwise, the two lines are parallel

  16. math_crasher
    • 3 years ago
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    ah ok

  17. pitankar
    • 3 years ago
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    one passes from y=-3 and other from y=1, so they are parallel(since slopes are same) but not co-linear.

  18. math_crasher
    • 3 years ago
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    so if its the same its parallel and what happens if its collinear?

  19. jim_thompson5910
    • 3 years ago
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    no, if the y-intercepts are the same, the lines are collinear if the y-intercepts are different, the lines are parallel both cases are true when the slopes are both equal

  20. math_crasher
    • 3 years ago
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    oh ok i see, so it is collinear right?

  21. jim_thompson5910
    • 3 years ago
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    what are the y-intercepts for both lines?

  22. math_crasher
    • 3 years ago
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    i need help finding the y intercepts pls

  23. jim_thompson5910
    • 3 years ago
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    y = mx+b b is the y-intercept ------------------------------ ex: for y = 2x+11 11 is the y-intercept ------------------------------ ex: y = 14x-13 which is the same as y = 14x + (-13) -13 is the y-intercept

  24. math_crasher
    • 3 years ago
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    ah i see

  25. math_crasher
    • 3 years ago
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    in this case the y intercepts are the same, which is 4x? And what do I do with the 1 and -3?

  26. pitankar
    • 3 years ago
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    to find Y=intercept, put x=0 in each equation. simple. Any point on y-axis is represented as x=0 and y=Y

  27. jim_thompson5910
    • 3 years ago
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    no, that's not the y-intercept

  28. jim_thompson5910
    • 3 years ago
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    y = 4x + 1, y intercept is 1

  29. jim_thompson5910
    • 3 years ago
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    look back up at my 2nd to last post

  30. math_crasher
    • 3 years ago
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    oh right then the y intercepts aren't the same

  31. jim_thompson5910
    • 3 years ago
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    so the lines are parallel

  32. math_crasher
    • 3 years ago
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    ah ok what will happen if its intersecting?

  33. jim_thompson5910
    • 3 years ago
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    if the slopes are different, then the lines will intersect

  34. math_crasher
    • 3 years ago
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    what about collinear?

  35. jim_thompson5910
    • 3 years ago
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    if the slopes are the same and the y-intercepts are the same, then the two lines are collinear

  36. math_crasher
    • 3 years ago
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    ah coolio thanks

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