Question
Week 8 - Math 8 - Assessment
7 of 137 of 13 Items
Question
Possible Points: 6.06
Choose the correct rule for the graph shown:
Responses
y = 2x - 1
y = 2x - 1
y = 2x + 1
y = 2x + 1
y = 3x + 1
y = 3x + 1
y = 2x
Answers
GPT-4o mini
To determine the correct rule for the graph, we need to analyze the slope and the y-intercept of the line represented by the graph. Here’s a brief rundown of how to do that:
1. **Identify the slope:** This is how steep the line is. A slope of 2 means that for every unit you go up, you move 2 units to the right. A slope of 3 means for every unit up, you move 3 to the right.
2. **Identify the y-intercept:** This is where the line crosses the y-axis.
If you have the graph, check the slope and the y-intercept:
- If the line has a slope of 2 and crosses the y-axis at -1, the equation is **y = 2x - 1**.
- If it has a slope of 2 and crosses at +1, then it is **y = 2x + 1**.
- If the slope is 3 and intercepts at +1, then it is **y = 3x + 1**.
- If the slope is 2 and goes through the origin (0,0), the equation is **y = 2x**.
Based on this analysis, you should choose the equation that accurately describes the slope and the y-intercept of the graph. If you can provide more details about the graph (like the coordinates of points), I can help you confirm the specific equation.
1. **Identify the slope:** This is how steep the line is. A slope of 2 means that for every unit you go up, you move 2 units to the right. A slope of 3 means for every unit up, you move 3 to the right.
2. **Identify the y-intercept:** This is where the line crosses the y-axis.
If you have the graph, check the slope and the y-intercept:
- If the line has a slope of 2 and crosses the y-axis at -1, the equation is **y = 2x - 1**.
- If it has a slope of 2 and crosses at +1, then it is **y = 2x + 1**.
- If the slope is 3 and intercepts at +1, then it is **y = 3x + 1**.
- If the slope is 2 and goes through the origin (0,0), the equation is **y = 2x**.
Based on this analysis, you should choose the equation that accurately describes the slope and the y-intercept of the graph. If you can provide more details about the graph (like the coordinates of points), I can help you confirm the specific equation.