# Worksheet: Equations of Parallel and Perpendicular Lines

Q1:

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

• A
• B
• C
• D

Q2:

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

• Aneither
• Bparallel
• Cperpendicular

Q3:

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

• A
• B
• C
• D
• E

Q4:

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

Q5:

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

Q6:

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

• A1
• B
• C
• D7

Q7:

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

• A , 1
• B ,
• C ,
• D ,

Q8:

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

Q9:

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

• Aneither
• Bperpendicular
• Cparallel

Q10:

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

Q11:

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

Q12:

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

• A
• B
• C
• D