# Worksheet: Equation of a Straight Line: General Form

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

**Q2: **

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

**Q3: **

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

- A
- B
- C
- D
- E

**Q4: **

What are the - and - intercepts of the line ?

- A2, 12
- B3, 12
- C2, 3
- D3, 2

**Q5: **

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

**Q6: **

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

- A
- B
- C
- D

**Q7: **

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

**Q9: **

Determine the equation of the straight line having a direction vector of , given that the line intersects the positive part of the at a point that is 6Β units away from the origin.

- A
- B
- C
- D

**Q12: **

Determine the equation of the line which cuts the -axis at 4 and the -axis at 7.

- A
- B
- C
- D

**Q13: **

Find the equation of the line that passes through the points and , giving your answer in the form .

- A
- B
- C
- D
- E

**Q14: **

Given , , and , find the equation of the straight line that passes through the vertex and bisects .

- A
- B
- C
- D

**Q15: **

A straight line has the equation . What is the slope of the line?

**Q16: **

If the slope of the straight line equals , find the value of .

**Q18: **

Which of the following is a Cartesian equation for a straight line that passes through the point with direction vector ?

- A
- B
- C
- D