Question
Using the graph, derive the equation of the line in slope-intercept form.
(1 point)
Responses
y=3x−4
y equals 3 x minus 4
y=3x+4
y equals 3 x plus 4
3x−y=4
3 x minus y equals 4
y=−3x−4
(1 point)
Responses
y=3x−4
y equals 3 x minus 4
y=3x+4
y equals 3 x plus 4
3x−y=4
3 x minus y equals 4
y=−3x−4
Answers
GPT-4o mini
To derive the equation of the line in slope-intercept form (y = mx + b), we need to determine the slope (m) and the y-intercept (b) from the graph.
1. **Identify the slope (m):** This is the change in y over the change in x (rise over run). If the line rises 3 units for every 1 unit it runs to the right, the slope is 3.
2. **Identify the y-intercept (b):** This is the point where the line crosses the y-axis. If it crosses at (0, -4), then the y-intercept is -4.
Combining these values, the equation of the line in slope-intercept form would be:
y = 3x - 4
Based on the options provided, the correct response is:
**y = 3x - 4**
1. **Identify the slope (m):** This is the change in y over the change in x (rise over run). If the line rises 3 units for every 1 unit it runs to the right, the slope is 3.
2. **Identify the y-intercept (b):** This is the point where the line crosses the y-axis. If it crosses at (0, -4), then the y-intercept is -4.
Combining these values, the equation of the line in slope-intercept form would be:
y = 3x - 4
Based on the options provided, the correct response is:
**y = 3x - 4**