Final answer:
To find the intersecting points of the two lines, set their equations equal to each other and solve for x. The intersecting point is at x = 0.
Step-by-step explanation:
To find the intersecting points of the two lines, we need to set their equations equal to each other and solve for the value of x. The given equations are Y2 = -173.5 + 4.83x - 2(16.4) and Y3 = -173.5 + 4.83x + 2(16.4). By setting Y2 equal to Y3, we can simplify the equation and solve for x. Once we have the value of x, we can substitute it back into either equation to find the corresponding y-value.
In this case, since both Y2 and Y3 have the same slope as the line of best fit, we can substitute -173.5 + 4.83x (the equation of the line of best fit) for both Y2 and Y3. Then, we solve for x:
-173.5 + 4.83x - 2(16.4) = -173.5 + 4.83x + 2(16.4)
-173.5 + 4.83x - 32.8 = -173.5 + 4.83x + 32.8
-206.3 + 4.83x = -140.7 + 4.83x
-206.3 = -140.7
x = 0
Therefore, the intersecting point of these two lines is at x = 0. Substituting x = 0 into either of the given equations, we can find the corresponding y-value.