Answer:
(2,0) - x -intercept
(0, 1.5) - y-intercept
Explanation:
The slope of the points can be found by writing a ratio of vertical change to horizontal change. It can be found in the table by subtracting y values from each other and subtracting x values from each other. The y values decrease by 3 each time or -6 - -3 = -6 + 3 = -3.
The x values increase by 4.
So the rate of change is -3/4.
This means if you go backwards on the table the previous point would be (2, 0). This is the x-intercept.
To find the y-intercept, you must go further back. Going back 2 more units would make the table appear as:
x y
-2 3
0 ???
2 0
6 -3
10 -6
14 -9
Since the y values decrease by 3 each time and we went back half the usual amount, then the value would be 1.5.