Answer:
1. 2/3
2. doesn't exist
3. 2
4. x ≥ 0
5. y ≥ 2
Step-by-step explanation:
If we were to take any two points on the line and divide the difference of the y-coordinates by the difference of the x-coordinates, we'd get the slope. So, take any two points: (0, 2) and (3, 4). The slope is:
(4 - 2) / (3 - 0) = 2/3
The x-intercept is where the line crosses the x-axis, but since the line only starts at (0, 2), the x-intercept doesn't exist.
The y-intercept is where the line crosses the y-axis, which is at point (0, 2) so the y-intercept is 2.
The domain is the possible x-values. Here, because the smallest x-value is 0 (from the point (0,2)), and there is no largest x-value (the arrow at the end of the line indicates the graph goes on to infinity), the domain is: x ≥ 0.
The range is the possible y-values. Here, the smallest possible y value is 2 (from (0, 2)) and the largest is infinity, so the range is: y ≥ 2.
