Mathematics Worksheet/Equations of Straight Line

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.