Final answer:
The student's question relates to plotting the graph of the equation y=(4x)/(x²-4), but the provided points do not satisfy the equation. Instead, an example is given with y = 9 + 3x, which illustrates how to plot points on a graph and see the linear dependence of y on x.
Step-by-step explanation:
The student has provided an equation y=(4x)/(x²-4) and is looking for assistance in identifying points that satisfy this equation. To find the points that satisfy the equation, one would set values for x and solve for y. However, the points mentioned (1,5), (2,10), (3,7), and (4,14) do not satisfy the given equation, implying there might be a mistake. To graph the dependence of y on x, you would plot a series of x-values and calculate the corresponding y-values. As an example of plotting a line, consider the equation y = 9 + 3x, which describes a linear relationship where b (the y-intercept) is 9, and m (the slope) is 3. For this line, you can create a table with x-values, compute y-values, plot these on a graph, and draw the line through the plotted points, thus visualizing the dependence of y on x.