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 $\mathrm{\Delta }=(4,1)$
   5. $P=(-4,7)$ and $Q=(6,-3)$
   6. $E=(7,5)$ and $F=(4,6)$
   7. $\kappa =(-5,-2)$ and $\mathrm{\Omega }=(-4,-9)$
   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.