Practice Problems on Gradient of a Line
Problem 1: Find the gradient of a line passing through the points (1, 2) and (3, 4).
Problem 2: Find the angle made by a line with positive direction of X-axis whose gradient is 1/√3.
Problem 3: What is gradient of the line represented by the equation 4x+3y+12=0.
Problem 4: Find the expression for Gradient of the curve represented as y = ln x at any point.
Problem 5: Find the gradient of the curve y = sin x at x = π/2.
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