To determine which equations could represent the graph you're referring to, we need to analyze the provided equations. However, since I cannot see the graph, I will help you evaluate the equations based on their slopes and y-intercepts.
-
y = -2/3x + 5
- Slope: -2/3
- Y-intercept: 5
-
y = 5x - 2
- Slope: 5
- Y-intercept: -2
-
2x + 3y = 15
- Rearranged to slope-intercept form:
- 3y = -2x + 15
- y = -2/3x + 5
- Slope: -2/3
- Y-intercept: 5
- Rearranged to slope-intercept form:
-
-3x + 2y = 5
- Rearranged to slope-intercept form:
- 2y = 3x + 5
- y = (3/2)x + 5/2
- Slope: 3/2
- Y-intercept: 5/2
- Rearranged to slope-intercept form:
-
y = 5x + 8
- Slope: 5
- Y-intercept: 8
Summary:
- y = -2/3x + 5 and 2x + 3y = 15 are equivalent and have the same slope and y-intercept.
- y = 5x - 2 and y = 5x + 8 have a slope of 5.
- -3x + 2y = 5 has a different slope and intercept.
To choose which equations could represent the graph, consider the slope and y-intercept you see in the graph:
- If the graph has a slope of -2/3 and a y-intercept of 5, select y = -2/3x + 5 and 2x + 3y = 15.
- If the graph has a slope of 5, select y = 5x - 2 and y = 5x + 8.
Without knowing the specifics of the graph, you would select the equations based on the characteristics observed in the graph.
1 answer