Final answer:
To use substitution in the given equation y = 3x + 5, we need an additional equation or specific value. In another example y = 9 + 3x, with a slope of 3 and y-intercept of 9, we can create a table or graph to represent the linear relationship.
Step-by-step explanation:
To use substitution to solve the equation y = 3x + 5, we need to follow a simple procedure. If we have another equation or a specific value for either x or y, we substitute this value into our equation and solve for the other variable. However, as we are provided only with the equation y = 3x + 5, we need more information to find a specific solution. Without another equation or value, we can create a table of values or plot the line on a graph.
In the context given, the equation y = 9 + 3x represents a linear relationship where 9 is the y-intercept (denoted as the b term), and 3 is the slope (denoted as the m term). To construct the Table A1, we input a series of x values and calculate the corresponding y values. For example, if x = 0, then y = 9 + 3(0) = 9. If x = 1, then y = 9 + 3(1) = 12, and so on. These values create points which, when plotted on Figure A1, form a straight line. Understanding these concepts is crucial for grasping the basics of algebra and functions, which is integral in the mathematics curriculum at various educational levels including high school.