Answer:
D
Explanation:
The line intercept y axis in (0,3), so in the generic equation y= mx + b, b must be 3. The line is also decreasing, so m must be negative
We have two options: B and D
If we try to put y=0 in these equations we have:
-1/2x + 3 = 0
Let’s solve the equation
-x + 6 = 0
x -6 = 0
x = 6
Checking the graph we notice that the line doesn’t intercept x axis in (6,0), so option B is wrong
For be sure, let’s try the same with option D
-2x + 3 = 0
-2x = -3
x = 3/2
This time is correct, so D is the right answer