A straight line is a part of coordinate geometry. A straight line is defined as a line that travels in only one direction—positive or negative—without bending at any point, or it can be defined as the shortest distance between two points. This chapter is very important for students from the examination point of view. Although it's not tough to understand this chapter, it could be troublesome if your concepts are unclear.
Topics covered in this chapter |
Introduction |
Slope of line |
Slope of a line when coordinates of any two points on the line are given |
Conditions for parallelism and perpendicularity of lines in terms of their slopes |
Angle between two lines |
Collinearity of 3 points |
Various forms of equation of line |
Horizontal and vertical line |
Point slope form |
Two-point form |
Slope-intercept form |
Intercept form |
Normal form |
General equation of line |
Different forms of Ax + By + C = 0 |
Distance of a point from a line |
Distance between 2 parallel lines |
Before you start learning straight lines, you need to be very well aware of the terminologies of a rectangular coordinate plane system. A rectangular coordinate system is composed of
A horizontal line called the x-axis.
A vertical line called the y-axis
Point of intersection of these two axes called the origin.
And any given point on the coordinate plane is an ordered pair, represented in the form (x,y).
In a straight line, we will discuss the slope of a line and how the slope of a line is calculated through different formulas in detail. We will also learn about the general equation of a straight line and its significance. Some related topics like the angle between two lines and collinearity of 3 points will also be discussed.