# Lesson Worksheet: Intersection Point of Two Straight Lines on the Coordinate Plane Mathematics

In this worksheet, we will practice finding the intersection point between two straight lines on a coordinate system and using this concept to find equations of lines.

Q1:

At which point do the lines and intersect?

• A
• B
• C
• D

Q2:

Determine the point of intersection of the two straight lines represented by the equations and .

• A
• B
• C
• D

Q3:

Find the equation of the straight line, passing through the point of intersection of the two straight lines and , that intersects the positive directions of the coordinate axes in two points at the same distance from the origin.

• A
• B
• C
• D

Q4:

The lines and intersect orthogonally. Find the coordinates of the point of intersection.

• A
• B
• C
• D

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:

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

• A
• B
• C

Q7:

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

Q8:

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

• A
• B
• C
• D

Q9:

Find the vector 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

Q10:

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