# Worksheet: Straight Line Equations in General Form

In this worksheet, we will practice finding and writing the equation of a straight line in general form.

**Q2: **

Determine the general equation of a straight line that passes through point and has a direction vector , given that the coordinates of and are and , respectively.

- A
- B
- C
- D

**Q3: **

A line passes through the points and .

Find the gradient of the line.

Find the coordinates of the point at which the line intercepts the -axis.

- A
- B
- C
- D
- E

Hence, write the equation of the line in the form .

- A
- B
- C
- D
- E

**Q4: **

Write the equation of the line with slope and -intercept in the form .

- A
- B
- C
- D
- E

**Q5: **

Which of the following equations represents a straight line?

- A
- B
- C
- D

**Q6: **

Does the equation represent a straight line?

- Ayes
- Bno

**Q7: **

Determine the general equation of a straight line that passes through point and has a direction vector , given that the coordinates of and are and , respectively.

- A
- B
- C
- D

**Q8: **

Determine the general equation of a straight line that passes through point and has a direction vector , given that the coordinates of and are and , respectively.

- A
- B
- C
- D

**Q9: **

Given that the line intersects the -axis at the point , find the values of and .

- A ,
- B ,
- C ,
- D ,

**Q10: **

What are the - and - intercepts of the line ?

- A3, 12
- B3, 2
- C2, 3
- D2, 12

**Q11: **

A line passes through and cuts out a triangle of area 32 with the two coordinate axes. What is its equation?

- A
- B
- C
- D

**Q12: **

Find all the lines that pass through and whose - and -intercepts combined distances from the origin is 12.

- A
- B
- C
- D

**Q13: **

Given that the coordinates of the points and are and , respectively, and the point divides internally in the ratio , determine the equation of the straight line passing through the points and .

- A
- B
- C
- D

**Q14: **

Determine the area of the triangle bounded by the , the , and the straight line .