## College Algebra (10th Edition)

$y=\frac{1}{2}x+5$
We use the points (-2,4) and (6,8) to find the slope: $m=\frac{8-4}{6-(-2)}$ $=\frac{4}{8}$ $=\frac{1}{2}$ We plug in the slope into the point-slope formula: $y-y_{1}=m(x-x_{1})$ Using point (6,8): $y-8=\frac{1}{2}(x-6)$ $y-8=\frac{1}{2}x-3$ $y=\frac{1}{2}x-3+8$ $y=\frac{1}{2}x+5$