Mathematics Worksheet/Equations of Straight Line

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  1. Determine the gradient of a segment in line that connecting points:
    1. \!X=(\!4,\!2) and \!Y=(\!-3,\!-4)
    2. \!A=(\!-5,\!-2) and \!B=(\!3,\!4)
    3. \alpha=(\!5,\!-3) and \beta=(\!-2,\!8)
    4. \lambda=(\!-6,\!3) and \Delta=(\!4,\!1)
    5. \!P=(\!-4,\!7) and \!Q=(\!6,\!-3)
    6. \!E=(\!7,\!5) and \!F=(\!4,\!6)
    7. \kappa=(\!-5,\!-2) and \Omega=(\!-4,\!-9)
    8. \!M=(\!-3,\!4) and \!N=(\!5,\!-6)
    9. \!R=(\!-5,\!1) and \!S=(\!-4,\!-10)
    10. \!C=(\!3,\!-5) and \!D=(\!5,\!-3)
  2. Find the gradient line from:
    1. \!x+\!y=\!14
    2. \!3x-\!5y=\!11
    3. \!5x+\!4y=\!41
    4. \!x-\!y=\!15
    5. \!3(\!2x+\!5y)=\!3
    6. \!5x-\!y=\!18
    7. \!6x+\!3y=\!62
    8. \!10x-\!5y=\!75
    9. \!7x+\!3y=\!-8
    10. \!3x-\!5y=\!-30
    11. \!5x+\!9y=\!-2
    12. \!4x+\!y=\!0
    13. \!6x-\!3y=\!0
    14. \!4(\!3x+\!y)=\!8
    15. \!2x-\!0,5y=\!-7
    16. \!1,5x+\!2,5y=\!21
    17. \!2,4x+\!1,5y=\!14,7
    18. \!3,2x-\!2,3y=\!5
    19. \!4,5x+\!2,7y=\!18,9
    20. \!6,7x-\!1,9y=\!19,2
  3. Draw in the Cartesian diagram if known the four points are:
    1. \!A=\!(\!4,\!-2),\!B=\!(\!3,\!3),\!C=\!(\!-6,\!3),\!D=\!(\!5,\!4)
    2. \!A=\!(\!-7,\!-1),\!B=\!(\!4,\!-2),\!C=\!(\!-1,\!-9),\!D=\!(\!-4,\!3)
    3. \!A=\!(\!-5,\!5),\!B=\!(\!6,\!-6),\!C=\!(\!-3,\!3),\!D=\!(\!2,\!-2)
    4. \!A=\!(\!1,\!-10),\!B=\!(\!-3,\!-6),\!C=\!(\!4,\!7),\!D=\!(\!-6,\!1)
    5. \!A=\!(\!-2,\!-2),\!B=\!(\!-5,\!7),\!C=\!(\!1,\!3),\!D=\!(\!-9,\!5)
  4. From the questions number 3, calculate the gradient of line AB and line CD.
  5. From the questions number 3, are the both lines parallel? If not, give the reason.