What is the x- and y- intercepts for 2x+y=10

X-intercept is (5,0)

y-intercept is (0,10)

Hope this helps. 

To find the y-intercept, you must first put this equation into the standard form a line which is y = mx + b where m is the slope and b is the y intercept:

2x + y = 10

y = -2x + 10

So, we can see that the y-intercept, b, is 10.

Now, to find the x intercept, simply plug in 0 for y. Why does this work? Well, if the line is touching the x axis at a point, then y must be equal to 0 at that point:

0 = -2x + 10

- 2x = -10

x = 5

Thus, the x intercept is 5.