Final answer:
The student's question pertains to a linear equation in point-slope form. To create a table of values for an equation like y = 9 + 3x, insert a range of x-values and calculate the resulting y-values, then plot these on a graph. The unrelated points provided suggest a typo or different context.
Step-by-step explanation:
The equation provided by the student is y-4 = 1/5 (x-3), which is an example of a linear equation in point-slope form, where the point comes from the values within the parentheses and the slope is the coefficient of the x. From the information given regarding y = 9 + 3x, we understand that this equation is in slope-intercept form, with b representing the y-intercept and m representing the slope. To construct a table of values for the equation, one would select a range of x-values, substitute these into the equation to find the corresponding y-values, and then plot these values to create a line on a graph.
The sentence mentioning the table with points (1,5), (2,10), (3,7), and (4,14), does not seem to be related to the equation y = 9 + 3x, as the pairs do not satisfy this equation and therefore must be an error or pertaining to a different context.