How to Find a Linear Graph Equation? Explained With Solved Example

BY Team Aakash Byju's

Linear means straight, and a graph is a diagram showing a connection or relation between two or more quantities.

Hence, a linear graph is nothing but a straight line drawn on a plane connecting the points on x and y coordinates.

 We use linear relations in our everyday life, and by graphing those relations in a plane, we get a straight line.

Now that you have an introduction to the linear graph let us explain it more through an equation. y=mx+c

The gradient between any two points (x1, y1) and (x2, y2) are on the linear or straight line.

The value of gradient ‘m’: Is the ratio of the difference of y-coordinates to the difference of x-coordinates.

 The linear equation can also be written as,

Let's look at a few examples of linear graph definitions.

The equation y=2x+1 is a linear equation or forms a straight line on the graph.

Let's assume that y=2x+1 is a straight line. First, we must construct the table below to determine the x and y coordinates.

 By using above coordinates we can plot a graph which forms a linear line.

Graph of y = 2x + 1

Suppose we need to draw a graph of the linear equation y=2x+1.

Hope you understood how to draw a linear graph.