Question
onsider the graph below.
graph3-138462-1442126337646
What is the equation of the line in slope-intercept form?
A
y=8x−8y=8x-8y=8x−8
B
y=x+8y=x+8y=x+8
C
y=x−8y=x-8y=x−8
D
y=8x+8y=8x+8y=8x+8
graph3-138462-1442126337646
What is the equation of the line in slope-intercept form?
A
y=8x−8y=8x-8y=8x−8
B
y=x+8y=x+8y=x+8
C
y=x−8y=x-8y=x−8
D
y=8x+8y=8x+8y=8x+8
Answers
GPT-4o mini
To determine the equation of the line in slope-intercept form (y = mx + b), we need to identify the slope (m) and the y-intercept (b) from the graph.
From the given options:
A. \( y = 8x - 8 \)
B. \( y = x + 8 \)
C. \( y = x - 8 \)
D. \( y = 8x + 8 \)
**Steps to identify the correct equation:**
1. **Find the Slope**: The slope (m) indicates how steep the line is. If the line rises steeply, the slope will be a larger number, whereas a gently rising or falling slope will have a smaller number. If it's horizontal, the slope is 0, and if it falls, the slope will be negative.
2. **Identify the Y-Intercept**: The y-intercept (b) is where the line crosses the y-axis (when x = 0). This can be seen as the point where the line intersects the vertical axis.
Without being able to see the graph, I can provide some guidance on how you would choose the correct option based on the characteristics of the graph.
- If the line is steep and goes up rapidly, the slope is likely to be 8, pointing towards options A and D.
- If the line rises gradually, the slope will be 1 (as in options B and C).
- If the y-intercept appears to be negative, consider options A, C, or possibly B, while if it’s positive, look into A or D.
Ultimately, to choose the correct equation, you will need to assess the slope and y-intercept from the graph you have.
From the given options:
A. \( y = 8x - 8 \)
B. \( y = x + 8 \)
C. \( y = x - 8 \)
D. \( y = 8x + 8 \)
**Steps to identify the correct equation:**
1. **Find the Slope**: The slope (m) indicates how steep the line is. If the line rises steeply, the slope will be a larger number, whereas a gently rising or falling slope will have a smaller number. If it's horizontal, the slope is 0, and if it falls, the slope will be negative.
2. **Identify the Y-Intercept**: The y-intercept (b) is where the line crosses the y-axis (when x = 0). This can be seen as the point where the line intersects the vertical axis.
Without being able to see the graph, I can provide some guidance on how you would choose the correct option based on the characteristics of the graph.
- If the line is steep and goes up rapidly, the slope is likely to be 8, pointing towards options A and D.
- If the line rises gradually, the slope will be 1 (as in options B and C).
- If the y-intercept appears to be negative, consider options A, C, or possibly B, while if it’s positive, look into A or D.
Ultimately, to choose the correct equation, you will need to assess the slope and y-intercept from the graph you have.