the y-intercept is the point (0, -4) on the plane
Step-by-step explanation:
In order to find the y-intercept, write the equation in "slope intercept form" solving for "y":
![2\,y=x-8\\y=\frac{x-8}{2} \\y=\frac{x}{2} -\frac{8}{2} \\y=\frac{x}{2} -4](/tpl/images/0729/7837/bfa6b.png)
Recall now that the y-intercept is the value at which the line crosses the y-axis (when x = 0), therefore:
![y=\frac{x}{2} -4\\y=\frac{0}{2} -4\\y=-4](/tpl/images/0729/7837/68786.png)
So the y-intercept is the point (0, -4) on the plane.