In this worksheet, we will practice creating the equations of parallel and perpendicular lines.

**Q1: **

Determine, in slope-intercept form, the equation of the line passing through perpendicular to the line passing through and .

- A
- B
- C
- D
- E

**Q2: **

If a line is perpendicular to the line , and passes through the points and , what is the value of ?

**Q3: **

Given that the coordinates of the points , , , and are , , , and , respectively, determine whether and are parallel, perpendicular, or neither.

- Aneither
- Bparallel
- Cperpendicular

**Q4: **

Determine whether the lines and are parallel, perpendicular, or neither.

- Aneither
- Bperpendicular
- Cparallel

**Q5: **

Find the slope of the line and the -intercept of this line.

- A , 1
- B ,
- C ,
- D ,

**Q6: **

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

**Q7: **

Write, in the form , the equation of the line that is parallel to the line and that intercepts the -axis at 1.

- A
- B
- C
- D
- E

**Q8: **

If and , find the cartesian equation of the straight line passing through the point of division of internally in the ratio and perpendicular to the straight line whose equation is .

- A
- B
- C
- D

**Q9: **

Suppose that is the line , and the line . Find the value of so that .

- A
- B
- C
- D

**Q10: **

Lines and are perpendicular to each other and meet at . If the slope of is 0, what is the equation of line ?

- A
- B
- C
- D
- E

**Q11: **

Given that the points and lie on a line that has a slope of 1, determine the value of .

**Q12: **

Suppose that the points , , and form a right-angled triangle at . What is the value of ?

- A
- B
- C
- D