Final answer:
To determine the value of x and y, we use the given linear equation y = 9 + 3x. By substituting different values of x into the equation, we can solve for the corresponding y values, confirming the linear relationship between x and y.
Step-by-step explanation:
To find the value of x and y, we must have an equation that relates these two variables. The information implies that we are dealing with a linear equation where y is the dependent variable and x is the independent variable. The general form of a linear equation is y = mx + b, where m is the slope of the line and b is the y-intercept. The example given to us is y = 9 + 3x, indicating that the slope (m) is 3 and the y-intercept (b) is 9.
To answer briefly, to determine specific values of x and y, we simply choose a value for x, substitute it into the equation, and solve for y. For example, if we choose x=0, we get y = 9 + 3(0), which simplifies to y = 9. If we choose x=1, then y = 9 + 3(1), which simplifies to y = 12.
By plotting these points on a graph, we can visually confirm that the points lie on a straight line, confirming that we have indeed constructed the linear relationship correctly. By continuing this method, we can construct a series of (x, y) coordinates that represent points on the line described by the equation y = 9 + 3x.