The function g(x) = 2x + 3 is a linear equation, which means it graphs as a straight line. In this equation, g(x) represents the output value, while x is the input value. The number 2 is the slope, indicating that for every increase of 1 in x , g(x) increases by 2. The number 3 is the y-intercept, meaning the line crosses the y-axis at the point (0, 3). Linear functions like g(x) are commonly used in various fields, including mathematics, economics, and science. They help model relationships between two variables, making it easier to predict outcomes. For example, if you substitute different values for x , you can find corresponding values for g(x) , illustrating how changes in one variable affect another.