Final answer:
The terms in the expression 3x+2 are 3x and 2, the coefficient is 3, and the constant is 2. In general, for a linear equation y=mx+b, m is the slope and b is the y-intercept of the graph represented by this equation.
Step-by-step explanation:
The student asked about identifying the terms, coefficients, and constants for the expression 3x+2. The correct identification for the expression is:
- The terms are 3x and 2.
- The coefficient of x is 3.
- The constant is 2.
When analyzing linear equations of the form y = mx + b, such as the given y = 9 + 3x, the term m represents the slope of the line, which is the coefficient of the variable x, and b represents the y-intercept, which is the constant term. To find specific points on the line, you can substitute different values for x into the equation to solve for y. These points can then be plotted on a graph to represent the line described by the equation.