Describe Graphing Linear Equations.
Linear equations are equations whose degree is one. They are used in various fields of engineering and science for calculating the values of various parameters and quantities. They can be represented in a cartesian plane depending on their equation.
Answer: The linear equations can be represented in a graph by a straight line.
Let's understand in detail.
The linear equations can be plotted in the graph. Also, their graphs can be used to find the solution of a system of equations.
Let's take some examples.
The equation y = 2x can be represented by a line of slope 2 through the origin. It is represented by the blue line in the picture above.
The equation y + x = 1 can be represented by a line that cuts intercepts of length 1 between x and y. It is represented by the orange line in the picture above.
By looking at the graph, we can see that both the lines intersect at (1/3, 2/3) or (0.333, 0.667), which is the solution for this particular system of equations.