A. x-int: -0.5,y-int: 1
b. x-int: 0.5,y-int: 1
c. x-int: -0.5,y-int: -1
d. x-int: 1,y-int: 0.5

The correct answer is:  [D]:  " x-int : 1 ,  y-int:  0.5  " .

Note:

The "x-intercept" refers to the point(s) at which the the graph of a function (which is a "line", in this case) cross(es) the "y-axis".  

In other words, what is (are) the point(s) of the graph at which "x = 0" ?

By examining the graph, we see that when " x = 0" ; y is equal to:  "1" .

So; the "x-intercept" is at point:  "(0, 1)" ; or, we can simply say that the 
   "x-intercept" is:  "1" .
  Note:

The "y-intercept" refers to the point(s) at which the the graph of a function (which is a line, in this case) cross(es) the "x-axis".  

In other words, what is (are) the point(s) of the graph at which " y = 0 " ?

By examining the graph, we see that when " y = 0 " ; x  is equal to:  "0.5" .

So; the "x-intercept" is at point:  "(0.5, 0)" ; or, we can simply say that the 
   "y-intercept" is:  "0.5 " .

This would correspond to:

           Answer choice:  [D]:  " x-int: 1 , y-int: 0.5  " .

     {that is;  The "x-intercept" is: "0" ; and the "y-intercept" is:  "0.5 ".} .