Gradient of a Line: FAQs
What is the meaning of gradient of a line?
The gradient of a line, often referred to simply as the slope, describes the steepness or inclination of the line with respect to the x-axis.
What does zero gradient of a line indicate?
Zero gradient of a line indicates that the line is a horizontal one, i.e. it is parellel to the X-axis.
What is meant by Gradient of a curve?
A curve’s gradient gives information about the rate of change of function with respect to the independent variable. A positive gradient indicates increasing nature of curve while a negative gradient implies the decreasing nature.
What is the formula to find gradient of a line passing through (x1,y1) and (x2,y2)?
The gradient of a line passing through the points (x1,y1) and (x2,y2) is given as,
m = (y2-y1)/(x2-x1)
What does ‘m’ indicate in equation of the line y = mx + c?
Gradient or slope of the line is indicated by ‘m’ in the equation of line y = mx + c.
What is gradient of a line which is parallel to the y-axis?
A line parallel to Y-axis is perpendicular to the X-axis, i.e. it makes an angle of 90° with the X-axis. Thus, gradient of such line would be tan 90° which is undefined and can be taken as infinity for calculations.
Gradient of a Line
Gradient of a Line is the measure of the inclination of the line with respect to the X-axis which is also called slope of a line. It is used to calculate the steepness of a line. Gradient is calculated by the ratio of the rate of change in y-axis to the change in x-axis.
In this article, we will discuss the gradient of a line, methods for its calculation, the gradient of a curve, applications of gradient of a line, some solved examples, and practice problems related to the gradient of a line.
Table of Content
- What is Gradient of a Line?
- How to Calculate Gradient of a Line?
- Gradient of a Curve
- Gradient of Different Lines
- Types of Gradient of a Line