A table of data for two different linear functions using the same values of x for both functions is shown below:
[tex]\begin{tabular}
{|c|c|c|}
x&y=2x+7&y=-x+4\\[1ex]
-3&2(-3)+7=-6+7=1&-(-3)+4=3+4=7\\
-2&2(-2)+7=-4+7=3&-(-2)+4=2+4=6\\
-1&2(-1)+7=-2+7=5&-(-1)+4=1+4=5\\
0&2(0)+7=0+7=7&-(0)+4=0+4=4\\
1&2(1)+7=2+7=9&-(1)+4=-1+4=3\\
2&2(2)+7=4+7=11&-(2)+4=-2+4=2\\
3&2(3)+7=6+7=13&-(3)+4=-3+4=1
\end{tabular}[/tex]
From the table, it can be seen that when x = -1, the function y = 2x + 7 has a value of 5 and the function y = -x + 4 has a value of 5.
Therefore, the graph of the two functions will intercect at (1, 5)
