Answer: D. (0,10)
Why:
Your given equation is 5x+2y=20, so in order to find the y-intercept, we must put it in slope-intercept form, a.k.a. y=max+b.
To do this, subtract 5x from both sides. This will then give you 2y=-5x+20.
And to fully simply, divide both sides by 2. Finally, you get y=(-5/2)x+10. And since we know b in slope-intercept form is the y-intercept, and 10 is b in our final function/equation. We get the answer of y-intercept=(0,10)