# Worksheet: General Equation of a Line through the Intersection Point of Two Lines

Q1:

Find the equation of the line perpendicular to and passing through the intersection of the lines and .

• A
• B
• C
• D

Q2:

What is the equation of the line passing through and the intersection of the lines and ?

• A
• B
• C

Q3:

What is the equation of the line passing through and the intersection of the lines and ?

• A
• B
• C

Q4:

What is the equation of the line passing through and the intersection of the lines and ?

• A
• B
• C

Q5:

Find the equation of the straight line that is parallel to the -axis and passes through the point of intersection of the two straight lines and .

• A
• B
• C
• D

Q6:

Find the equation of the straight line that is parallel to the -axis and passes through the point of intersection of the two straight lines and .

• A
• B
• C
• D

Q7:

The function is represented by the line and the function is represented by the line where the coordinates of are . Find the equations of and .

• A ,
• B ,
• C ,
• D ,
• E ,

Q8:

Find the equation of the straight line that passes through the origin and the point of intersection of the two straight lines and .

• A
• B
• C
• D

Q9:

Find the equation of the straight line that passes through the origin and the point of intersection of the two straight lines and .

• A
• B
• C
• D

Q10:

Find the equation of the vector that is parallel to the -axis and passes through the point of intersection of the two straight lines and .

• A
• B
• C
• D

Q11:

Find the -coordinate of the point at which the straight line cuts the -axis.

• A3
• B9
• C
• D0

Q12:

Which of the following equations represents a line through the origin?

• A
• B
• C
• D

Q13:

Find the equation of the straight line that passes through the point of intersection of the two straight lines and and parallel to the -axis.

• A
• B
• C
• D

Q14:

Find the equation of the straight line that passes through the point of intersection of the two straight lines and and parallel to the -axis.

• A
• B
• C
• D

Q15:

Find the equation of the straight line which passes through the point of intersection of the two lines and and is parallel to the straight line .

• A
• B
• C
• D

Q16:

Find the equation of the straight line which passes through the point of intersection of the two lines and and is parallel to the straight line .

• A
• B
• C
• D

Q17:

Determine the equation of the line passing through the point of intersection of the two lines whose equations are and while making an angle of with the positive -axis.

• A
• B
• C
• D

Q18:

Determine the equation of the line passing through the point of intersection of the two lines whose equations are and while making an angle of with the positive -axis.

• A
• B
• C
• D

Q19:

Find the vector equation of the straight line that passes through the point of intersection of the two straight lines and and the point .

• A
• B
• C
• D

Q20:

Find the vector equation of the straight line that passes through the point of intersection of the two straight lines and and the point .

• A
• B
• C
• D