Mathematics Worksheet/Equations of Straight Line

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. $α = (5, - 3)$ and $β = (- 2, 8)$
4. $λ = (- 6, 3)$ and $Δ = (4, 1)$
5. $P = (- 4, 7)$ and $Q = (6, - 3)$
6. $E = (7, 5)$ and $F = (4, 6)$
7. $κ = (- 5, - 2)$ and $Ω = (- 4, - 9)$
8. $M = (- 3, 4)$ and $N = (5, - 6)$
9. $R = (- 5, 1)$ and $S = (- 4, - 10)$
10. $C = (3, - 5)$ and $D = (5, - 3)$
Find the gradient line from:
1. $x + y = 14$
2. $3 x - 5 y = 11$
3. $5 x + 4 y = 41$
4. $x - y = 15$
5. $3 (2 x + 5 y) = 3$
6. $5 x - y = 18$
7. $6 x + 3 y = 62$
8. $10 x - 5 y = 75$
9. $7 x + 3 y = - 8$
10. $3 x - 5 y = - 30$
11. $5 x + 9 y = - 2$
12. $4 x + y = 0$
13. $6 x - 3 y = 0$
14. $4 (3 x + y) = 8$
15. $2 x - 0, 5 y = - 7$
16. $1, 5 x + 2, 5 y = 21$
17. $2, 4 x + 1, 5 y = 14, 7$
18. $3, 2 x - 2, 3 y = 5$
19. $4, 5 x + 2, 7 y = 18, 9$
20. $6, 7 x - 1, 9 y = 19, 2$
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. $A = (- 2, - 2), B = (- 5, 7), C = (1, 3), D = (- 9, 5)$
From the questions number 3, calculate the gradient of line AB and line CD.
From the questions number 3, are the both lines parallel? If not, give the reason.

Navigation menu