Question

Which equations could represent this graph? Choose all that apply.



(2 points)
Responses

y = 5x - 2
y = 5x - 2

y = -2/3x + 5
y = -2/3x + 5

2x + 3y = 15
2x + 3y = 15

-3x + 2y = 5
-3x + 2y = 5

y = 5x + 8
y = 5x + 8

Answer 1

To determine which equations could represent the graph, we need to analyze each equation to see if they match the characteristics such as slope or y-intercept, or any specific points they may go through.

1. **y = 5x - 2**: This equation has a slope of 5 and a y-intercept of -2.

2. **y = -2/3x + 5**: This equation has a slope of -2/3 and a y-intercept of 5.

3. **2x + 3y = 15**: Rearranging this equation into slope-intercept form (y = mx + b) gives us y = -2/3x + 5. Therefore, this equation is equivalent to the second option.

4. **-3x + 2y = 5**: Rearranging this equation into slope-intercept form gives y = (3/2)x + 5/2. This equation has a different slope and y-intercept.

5. **y = 5x + 8**: This equation has a slope of 5 and a y-intercept of 8.

Based on this analysis, the valid equations that could potentially represent the graph are:

- **y = 5x - 2**
- **y = -2/3x + 5**
- **2x + 3y = 15**

Thus, the answers are: **y = 5x - 2**, **y = -2/3x + 5**, and **2x + 3y = 15**.