Oblique Line

An oblique line is a line that is neither horizontal nor vertical. It is inclined or slanting, and its slope is neither 0 (horizontal) nor undefined (vertical).

Characteristics of Oblique Line

• It has a non-zero slope.
• It does not intersect the x-axis or y-axis at right angles.
• It has both a horizontal and a vertical component in its direction.

Equation of Oblique Line

The equation of an oblique line in the slope-intercept form is given by:

y = mx + b

• m represents the slope of the line.
• b represents the y-intercept of the line.

Graphing an Oblique Line

To graph an oblique line, you can use the slope-intercept form of the equation.

• Plot the y-intercept (0, b).
• Use the slope m to find another point on the line by moving up m units and to the right 1 unit, and then connect the two points to draw the line.

Study Guide

To understand oblique lines better, it's important to focus on the following key concepts:

• Understanding the concept of slope and how it relates to the steepness of the line.
• Identifying the y-intercept and understanding its significance in graphing the line.
• Practice graphing oblique lines using the slope-intercept form of the equation.

Additionally, solving problems involving the equation of oblique lines will reinforce your understanding of the topic.

Remember to pay attention to the inclination and direction of oblique lines, as well as how they differ from horizontal and vertical lines.