### Home > INT3 > Chapter 10 > Lesson 10.2.2 > Problem10-129

10-129.

What are all of the intersection points of the function $y = x^{2} – x + 12$ and the function given by the table at right? Write your solution(s) in $\left(x, y\right)$ form.

Is the function given by the table linear?

Intersection points are points that work for both functions.
How can you test which points in the table work for the equation of the other function?

$\left. \begin{array} { | c | c | } \hline x & { y } \\ \hline - 5 & { 42 } \\ \hline - 4 & { 27 } \\ \hline - 3 & { 16 } \\ \hline - 2 & { 9 } \\ \hline - 1 & { 6 } \\ \hline 0 & { 7 } \\ \hline 1 & {12} \\ \hline 2 & { 21 } \\ \hline 3 & { 34 } \\ \hline 4 & { 51 } \\ \hline 5 & { 72 } \\ \hline \end{array} \right.$