# How do I solve this system using graphing?

$y_A$ and $y_B$ represent continuous linear relations. Some values from the relations are shown in the table below.

\begin{array}{|c|c|c|} \hline x & y_A & y_B \\ \hline -8 & -5 & -15 \\ \hline -3 & -6 & -11 \\ \hline \end{array}

How do I solve this system? Do I find the slope and then solve for the y intercept to find both equations, and then graph them to find where they intersect?

• Try looking at cause and effect. Just a quick glance at the table shows that an increase of $5$ in $x$ results in a decrease of $1$ in $y_A$ and an increase of $4$ in $y_B$. Logic would dictate that if we keep increasing $x$ that $y_A$ and $y_B$ will eventually meet in the middle. – John Joy Aug 19 '15 at 12:47

To calculate the precise intercept you would typically calculate the gradients and $y$-intercept ($m$ and $c$). But I'm not sure your question is calling for this.
To solve by graphing, you plot both $y_A$ and $y_B$ as functions of $x$ (you will indeed need slope and intercept for that) and then find the intersection point.