Answer:
D.y=-2/3x+3
Step-by-step explanation:
To find the slope-intercept equation, we'll use the formula y = mx + b, where m is the slope and b is the y-intercept.
1. Calculate the slope (m):
- Choose any two points from the table. Let's use (0, 3) and (3, 1).
- Slope (m) = (change in y) / (change in x) = (1 - 3) / (3 - 0) = -2 / 3
2. Find the y-intercept (b):
- The y-intercept is the point where the line crosses the y-axis, meaning x = 0.
- From the table, we see that when x = 0, y = 3. So, the y-intercept (b) is 3.
3. Plug in m and b into the equation:
- y = mx + b
- y = (-2/3)x + 3
Therefore, the slope-intercept equation for the linear function represented by the table is y = -(2/3)x + 3.
