## Algebra 1: Common Core (15th Edition)

The solution of the system is $(16,14)$.
Graph both equations in the same coordinate plane. $y = x-2 \rightarrow$ The slope is 1. The y-intercept is -2. $y = \frac{1}{2}x+6 \rightarrow$ The slope is $\frac{1}{2}$. The y-intercept is 6. Find the point of intersection. The lines appear to intersect at $(16,14)$. Check to see if $(16,14)$ makes both equations true. $y=x-2 \rightarrow 14=16-2\rightarrow 14=14$ $y=\frac{1}{2}x+6 \rightarrow \frac{1}{2}(16)+6=14 \rightarrow14=14$ The solution of the system is $(16,14)$.