To determine which equations could represent the graph, you would typically need to analyze the slope and intercepts represented by each equation and see if they coincide with the characteristics of the graph in question.
However, since the graph itself isn't provided in your message, I can help explain how to approach this problem using the equations you've listed.
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-3x + 2y = 5: Convert to slope-intercept form (y = mx + b):
- 2y = 3x + 5
- y = (3/2)x + (5/2)
- Slope: 3/2
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y = -2/3x + 5: This is already in slope-intercept form.
- Slope: -2/3
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y = 5x + 8: This is already in slope-intercept form.
- Slope: 5
-
2x + 3y = 15: Convert to slope-intercept form:
- 3y = -2x + 15
- y = (-2/3)x + 5
- Slope: -2/3
-
y = 5x - 2: This is already in slope-intercept form.
- Slope: 5
Based on typical characteristics of a graph, you'd want to look at the slopes and y-intercepts to match them to the actual graph presented.
If you can provide details about the graph (like its slope and y-intercept or any key points), we can identify which of these equations correctly represent it.