The answers below are given in the form ax + by + c = 0. They may differ slightly from your answers.
It is conventional in this form to have a positive and no fractions. This is achieved by multiplying through the equation by the appropriate number.
1. | a. | 3x + 2y − 4 = 0 |
b. | 4x − y − 8 = 0 | |
c. | 2x − y − 4 = 0 | |
d. | 3x − 5y − 9 = 0 | |
e. | 2x + 6y − 3 = 0 | |
f. | 2x + 8y − 3 = 0 | |
g. | 12x + 9y − 3 = 0 |
2. | a. | y = 6x − 4 | Gradient = 6 |
b. | y = -2x + 1.5 | Gradient = -2 | |
c. | y = 5x − 12 | Gradient = 5 | |
d. | y = -3x + 6 | Gradient = -3 | |
e. | y = -4x / 5 + 4 | Gradient = -4/5 | |
f. | y = 4x / 7 − 4/7 | Gradient = 4/7 | |
g. | y = 3x / 2 − 9 | Gradient = 3/2 |
3. a. Angle is 33.7°
b. Angle is 153.4°
c. Angle is 14°
4. a. 3x − y + 4 = 0
b. 3x − 2y − 4 = 0
c. x + 2y − 1 = 0
5. a. y = 0.5x + 1.5
b. y = -2x + 1
6. | a. | 2x − y = 0 |
b. | 3x + y − 9 = 0 | |
c. | x − 2y − 3 = 0 | |
d. | x − y = 0 | |
e. | 3x − 4y + 33 = 0 | |
f. | 5x + 2y − 15 = 0 | |
g. | y − 2 = 0 |
7. | a. | 5x − 3y − 3 = 0 |
b. | 8x + 3y − 7 = 0 | |
c. | 14x − 3y − 40 = 0 | |
d. | 7x + y + 22 = 0 | |
e. | 9x + 22y − 166 = 0 | |
f. | 4x − 3y + 12 = 0 | |
g. | x − y = 0 |