We are required to graph out the equations from A and B.
In order to graph out the equations, we need a table of values for our x and y axes.
We can choose the values for our x-axis to be from 0 to 14 moving in steps of 2.
While there will be two corresponding y-values. One for y = 7x and the other for y = 30 + 4x
Therefore, we need to calculate these y values which we shall denote y1 and y2 respectively.
This is done below:
The calculated coordinates are:
(x, y1), (x, y2):
(0, 0), (0, 30)
(2, 14)(2, 38)
(4, 28)(2, 46)
(6, 42)(6, 54)
(8, 56)(8, 62)
(10, 70)(10, 70)
(12, 84)(12, 78)
(14, 98)(14, 86)
Now that we have calculated the values of the coordinates, we can create the table:
Now that we have the table of values, we can now plot the values:
The x values on the x-axis and the y-values on the y-axis
A picture of the plot is shown below:
Notice that on the table of values, both y1 and y2 have the same y-value at x = 10. This is the same point in which the graphs of y1 and y2 intersect i.e. at point x = 10, y = 70