Both the graphical lines will intersect at (4,12)
Step-by-step explanation:
Step 1; We must find the point in the graph where the lines of y=2.5x+2 and y=2x+4 intersect. To find out the intersecting point we must substitute values of x in both equations and see in which co-ordinate they are the same.
Step 2; We plot various values of x on the line governed by the equation y=2.5x+2
For a value of x=1 , y=2.5(1) + 2 = 4.5
For a value of x=2 , y=2.5(2) + 2 = 7
For a value of x= 3, y=2.5(3) + 2 = 9.5
For a value of x= 4, y=2.5(4) + 2 = 12
For a value of x= 5, y=2.5(5) + 2 = 14.5
Step 3; Now we also plot the values of x on the other line governed by y=2x+4
For a value of x= 1, y=2(1) + 4 = 6
For a value of x= 2, y=2(2) + 4 = 8
For a value of x= 3, y=2(3) + 4 = 10
For a value of x= 4, y=2(4) + 4 = 12
For a value of x= 5, y=2(5) + 4 = 14
Step 4; For both lines we must see if any of the values repeat at a particular point. In this case at the point (4,12) repeats for both so that becomes the point of intersection.
