Straight Line

A straight line is a geometric figure that extends indefinitely in both directions. It is the shortest path between two points. In terms of geometry, a straight line is characterized by the fact that it has constant direction and does not curve or bend.

See the image shown below.

A straight line is created by connecting two points, A(x1, y1) and B(x2, y2), with the shortest distance between them, and extending the line infinitely in both directions. The representation of the straight line between points A and B is denoted by the arrow symbol ←→ and the label AB.

Types of Straight Lines

In geometry and mathematics, straight lines can be categorized into different types based on various characteristics. Here are some common types of straight lines:

Horizontal Line

A line that is parallel to the x-axis and has a slope of zero.

Its equation is in the form y=c, where c is a constant.

Vertical Line

A line that is parallel to the y-axis and has an undefined slope (division by zero).

Its equation is in the form x=d, where d is a constant.

Slanted Line

A line that is not horizontal or vertical.

It has a non-zero slope and is represented by the equation y=mx+b, where

m is the slope and b is the y-intercept.

Image Coming Soon…

Parallel Lines

Lines that have the same slope and will never intersect, even if extended indefinitely.

They have equations of the form y=mx+b, where m is the same for both lines.

Line ‘a’ is parallel to line ‘b’, and line ‘p’ is parallel to line ‘q’.

Slope Point Form

The “point-slope form” is commonly used in describing the equation of a straight line. The point-slope form of the equation of a line is given by: y−y1=m(x−x1)

Here:

(x1,y1) are the coordinates of a point on the line.

m is the slope of the line.

This form is called “point-slope” because it involves a specific point (x1,y1) and the slope m of the line. It’s particularly convenient when you know a specific point on the line and the slope of the line. 

If you have two points (x1,y1) and (x2,y2) on the line, you can find the slope (m) using the formula:

m=y2 −y1 /x2−x1​

​Substitute this slope and one of the points into the point-slope form to get the equation of the line.

So, in summary, the point-slope form is a way to express the equation of a line using a specific point and its slope.

Two Point Form

The two-point form of the equation of a straight line is another way to represent a line when you have two specific points on it. The formula for the two-point form is:

y−y1= y2 −y1 /x2−x1. (x – x1).

Here ( x1 −y1 ) and (x2−y2) are the coordinates of two distinct points on the line.

Intercept Form

The intercept form of the equation of a straight line is given by: x/a + y/b = 1

Here, a and b are non-zero constants. This form is also known as the “two-intercept form” because it directly reveals the x-intercept and y-intercept of the line.

Straight Line FAQS

Grade 6 Science Worksheets

• Inquiry process
• Nature of Science
• Scientific Inquiry
• Inquiry, Analysis and Problem Solving
• Ethical Practices
• Science and Society
• Biotic and Abiotic Factors
• Impact of Organisms
• Adaptation
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• The Origin & History of Life On Earth
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• Parts of a Cell
• The Cell Cycle
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• The Human Respiratory System
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• The Human Nervous System
• The Human Muscular System
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Grade 6 Math Worksheets

• Probability
• Ratio
• Sequence & Patterns
• Division Word Problems  (New)
• Solving two step equations (New)
• One Step Equation  (New)
• Place Value  (New)
• Two Step Equation  (New)
• To convert percents to decimals and vice versa  (New)
• To convert Percents to Fractions and vice versa  (New)