Create a table of data for two different linear functions. The table should use the same values of x for both functions. Based on your table, will the graphs of these two functions intersect, and where? Explain your answer.
Use this example as a reference... (do exactly like this)...
4x + 5 x | y ------ 4 | 4(4) + 5 = 21 6 | 4(6) + 5 = 29 8 | 4(8) + 5 = 37 2x + 3 x | y ----- 2 | 2(2) + 3 = 7 4 | 2(4) + 3 = 11 6 | 2(6) + 3 = 15.
The graph will intersect at (-1 -1) since if you graph the two functions and draw a line down each of the points, they eventually intersect there.
Linear Function 1: y = 3x - 2
x | y
-----
2 | 4
4 | 10
6 | 16
Linear Function 2: y = -2x + 8
x | y
-----
2 | 4
4 | 0
6 | -4
Based on the table, the graphs of these two functions will intersect at the point (4, 10). This can be determined by observing that when x = 4, the y-values for both functions are the same. Therefore, the graphs will intersect at this point (4, 10).