Exploring the Linear Equation y = 2x + 1 | Understanding the Relationship between Dependent and Independent Variables

y = 2x + 1

The equation y = 2x + 1 is in the form of a linear equation, where “y” represents the dependent variable and “x” represents the independent variable

The equation y = 2x + 1 is in the form of a linear equation, where “y” represents the dependent variable and “x” represents the independent variable. In this case, the equation shows a linear relationship between “x” and “y”, where the value of “y” is twice the value of “x” plus 1.

To understand this equation and its graph, you can apply different values to “x” and then find the corresponding values of “y”. This will help you create a table of values which can be graphed to visualize the equation.

For example, when “x” is 0, the equation becomes y = 2(0) + 1, resulting in y = 1. So, when x = 0, y = 1. Similarly, when x = 1, y = 2(1) + 1, which gives y = 3. Continuing this process, you can generate a table of values as follows:

x | y
—–
0 | 1
1 | 3
2 | 5
3 | 7

Plotting these points on a graph, we can draw a straight line that represents the equation y = 2x + 1. The line will have a positive slope of 2 and it will intersect the y-axis at the point (0,1), where y = 1 when x = 0. As you move in the positive x direction, y increases by 2 units for every one unit increase in x. The graph will continue infinitely in both directions.

This equation is an example of a linear function, and its graph is a straight line. Linear equations are commonly used to represent various real-world situations such as rates of change, simple growth, or straight-line motion.

More Answers: