To find the x and y intercepts of an equation you can simply replace the x value with 0 if you want to solve for the y intercept, or if you want to solve for the x intercept, replace the y value with 0.
Let's start by solving for the x intercept. To start, let's first replace y with 0. This should look something like this: 2x-0.5(0)=8.
Then you solve for x. Since 0 multiplied by -0.5 is just 0, you end up with this: 2x=8. After that, you divide both sides by 2 and you get x intercept= 4
Now, to solve for the y intercept. To do this, you replace x with 0, which would look something like this: 2(0)-0.5y=8. Then, since 0*2 is 0, you are left with this: -0.5y=8. When you divide, your answer should be y intercept= -16