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

The slope of this equation is $-\frac{1}{2}$, and the y-intercept is $\frac{2}{3}$. The graph would shift 3 units down the y axis if the intercept moved down 3 units. However, the graph would not stretch, shrink or flip.
The location of the slope and y-intercept is the same for all linear functions in slope intercept form. The coefficient tied to the variable ($-\frac{1}{2}$ ) is always the slope and the constant $(\frac{2}{3})$ is the y-intercept. A shift in the y-intercept only changes the location of the graph, as the y-intercept simply states where the graph will cross the y-intercept. Thus a 3 unit shift downward will simply shift the entire graph 3 units down on the y-axis.