Final answer:
To find values of x and y using the linear equation y = 9 + 3x, one must substitute various values for x into the equation and solve for y to obtain corresponding points on the line. A table of values can be created and the points plotted on a graph to visualize the linear relationship. A specific point can be found by substituting a given x into the equation to solve for the corresponding y.
Step-by-step explanation:
To find the values of x and y, we have been given a linear equation y = 9 + 3x. This equation describes a line where the independent variable is x and the dependent variable is y. As x varies, y is determined by the equation. Hence, for any value that we choose for x, we can compute the corresponding value for y using the given equation.
For example, if we choose x = 0, we plug it into the equation to get y = 9 + 3(0) = 9. Therefore, one point on the line is (0, 9). If we choose x = 1, then y = 9 + 3(1) = 12, and another point on the line is (1, 12).
To view the line represented by this equation, we could create a table of values by substituting various values of x and calculating y. After plotting these points on a graph, we would draw a line through them. The points should all lie on a straight line since the equation represents a linear relationship between x and y.
If the question is about finding a specific value for y given a specific value for x (or vice versa), we would need the specific value to substitute into the equation to solve for the other variable.