Question

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



(2 points)
Responses

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

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

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

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

y = 5x - 2
y = 5x - 2
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Answer 1

To determine which equations could represent the graph, we need to consider the slope and y-intercept of each line represented by the equations. Without a visual representation of the graph, I'll describe how to analyze the equations provided:

1. **y = 5x + 8**
- Slope: 5, Y-intercept: 8

2. **y = -2/3x + 5**
- Slope: -2/3, Y-intercept: 5

3. **2x + 3y = 15**
- Rearranging to the slope-intercept form (y = mx + b):
- 3y = -2x + 15
- y = -2/3x + 5 (Slope: -2/3, Y-intercept: 5)

4. **-3x + 2y = 5**
- Rearranging to slope-intercept form:
- 2y = 3x + 5
- y = (3/2)x + 5/2 (Slope: 3/2, Y-intercept: 5/2)

5. **y = 5x - 2**
- Slope: 5, Y-intercept: -2

Now, to identify which equations apply to the graph, you would compare their slopes and y-intercepts with the characteristics of the graph you are examining.

- If the graph shows a line with a slope of 5, then the equations **y = 5x + 8** and **y = 5x - 2** would apply.
- If the graph shows a line with a slope of -2/3, then the equations **y = -2/3x + 5** and **2x + 3y = 15** would apply.
- If the graph shows a line with a slope of 3/2, then **-3x + 2y = 5** would apply.

So you would select the equations based on the visible slope and y-intercept on the graph.