1. Rearrange the following equations to the form ax + by + c = 0.
a. 3x + 2y = 4
b. y = 4x − 8
c. 2x − 4 = y
d. 3x = 5y +9
e. 6y = 3 − 2x
f.
g. 3(1 − 4x) = 9y
2. Rearrange the following equations to the form y = mx + c and give the gradient of each as a fraction
a. 6x = y + 4
b. 2y = 4x + 3
c. 5x − y = 12
d. 12 = 2(y + 3x)
e. 4x + 5y − 20 = 0
f. 4 = 4x − 7y
g. 3x − 2y = 18
3. Find the angle made by the following lines and the positive direction of the xaxis.
a. 3y = 2x − 6
b. x − 3 + 2y = 0
c. 5 + 2x = 8y
4. Find the equation of the following lines in the form ax + by + c = 0:
a. With gradient 3 and yintercept 4
b. With gradient and yintercept 2
c. With gradient 0.5 and yintecept 0.5
5. Find the equations of the following straight lines:
a.

b.

6. Find the equation of each of the following lines and give answer in the form ax + by + c = 0
a. With gradient 2 and passing through (1, 2)
b. With gradient 3 and passing through (2, 3)
c. With gradient 0.5 and passing through (1, 2)
d. With gradient 1 and passing through (0, 0)
e. With gradient 3/4 and passing through (3, 6)
f. With gradient 2.5 and passing through (3, 0)
g. With gradient 0 and passing through (5, 2)
7. Find the equation of the line passing through the following pairs of points. Leave answer in form ax + by + c = 0
a. (3, 4) and (6, 9)
b. (1, 5) and (2, 3)
c. (2, 4) and (5, 10)
d. (3, 1) and (2, 8)
e. (16, 1) and (6, 10)
f. (0, 4) and (3, 0)
g. (3, 3) and (3, 3)