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? Explain your answer simply
Sure! Here is a table of data for two linear functions, both using the values of x from -3 to 3:
x | y1 = 2x + 1 | y2 = 3x - 2
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-3 | -5 | -11
-2 | -3 | -8
-1 | -1 | -5
0 | 1 | -2
1 | 3 | 1
2 | 5 | 4
3 | 7 | 7
Based on this data, we can see that the graphs of these two linear functions do indeed intersect. At x = 0, the y-values for both functions are different, indicating that the graphs have different y-intercepts, but they intersect at the point (0, -2).
Therefore, the graphs of these two linear functions intersect at the point (0, -2).