Parallel, Perpendicular and Intersecting Lines Worksheets

Q1: Determine if the lines y = 3x + 2 and y = 3x − 4 are parallel, perpendicular, or neither.

Q2: Find the equation of the line passing through the point (4, 6) and parallel to the line 3x − 4y = 7.

Q3: Determine if the lines 2x + 5y = 10 and 4x + 10y = 15 are parallel, perpendicular, or neither.

Q4: Find the equation of the line perpendicular to y = 2/3x − 4 passing through the point (−1, 2).

Q5: Determine if the lines 5x − 2y = 8 and 10x − 4y = 16 are parallel, perpendicular, or neither.

Q6: Find the point of intersection of the lines y = −1/2x + 3 and y = 2x − 1.

Q7: Determine if the lines 6x + 3y = 9 and 9x + 4y = 12 are parallel, perpendicular, or neither.

Q8: Find the intersection point of the lines 4x + 5y = 17 and 3x − 2y = 11.

Q9: Determine the intersection point of the lines y = 3x − 2 and y= −2x + 7.

Q10: Determine if the lines 3x + 4y = 10 and 9x + 12y = 30 are parallel, perpendicular, or neither.

Parallel, Perpendicular and Intersecting lines are three types of lines based on their properties. This article provide worksheet for practice of questions based on parallel, perpendicular and intersecting lines. This article also contain, formula and solved examples to make you understand how to solve the worksheet