Straight Lines

Topics in this chapter

• Slope, Inclination and Angles
• Forms of Line Equations
• Intercepts and Line Parameters
• Parallel and Perpendicular Lines
• Intersections, Collinearity and Concurrency
• Distances Involving Straight Lines
• Pairs of Lines and Angle Bisectors

Cheat sheet

Practice questions

1. Question 1Q-747E7E

   What is the slope of the line passing through the points (2, -1) and (6, 7)?

   1. A.1/2
   2. B.2
   3. C.-2
   4. D.8
   See the answer and solution
2. Question 2Q-5AE9E6

   Which equation represents the line passing through (3, -2) and perpendicular to the line 2x + 3y - 5 = 0?

   1. A.3x - 2y - 13 = 0
   2. B.2x + 3y + 12 = 0
   3. C.3x + 2y - 5 = 0
   4. D.2x - 3y + 12 = 0
   See the answer and solution
3. Question 3Q-C4BB97

   What is the distance between the parallel lines 3x - 4y + 7 = 0 and 6x - 8y - 5 = 0?

   1. A.9/5
   2. B.19/10
   3. C.5/2
   4. D.19/5
   See the answer and solution
4. Question 4Q-4B1111

   Find the equation of the line that passes through the point of intersection of 2x + 3y - 7 = 0 and x - y + 1 = 0, and is perpendicular to x + 2y - 5 = 0.

   See the answer and solution
5. Question 5Q-9A028F

   A line has an inclination of 135° with the positive direction of the x-axis and passes through the point (2, 3). Which of the following is its equation?

   1. A.x + y - 5 = 0
   2. B.x - y + 1 = 0
   3. C.x + y + 5 = 0
   4. D.x - y - 5 = 0
   See the answer and solution