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Using the graph, derive the equation of the line in slope-intercept form. (1 point) Responses y=−3x−4 y=3x+4 3x−y=4 y=3x−4Question
Using the graph, derive the equation of the line in slope-intercept form.
(1 point)
Responses
y=3x−4
y=3x+4
3x−y=4
y=−3x−4
(1 point)
Responses
y=3x−4
y=3x+4
3x−y=4
y=−3x−4
Answers
GPT-4o mini
To derive the equation of a line in slope-intercept form (y = mx + b), you need to identify the slope (m) and the y-intercept (b) from the graph.
1. **Identifying the slope (m)**: The slope is the rise over run. If the line goes up 3 units for every 1 unit it moves to the right, then the slope is 3.
2. **Identifying the y-intercept (b)**: This is the point where the line crosses the y-axis. If the line crosses the y-axis at -4, then the y-intercept is -4.
Combining these, the slope-intercept form of the line is:
\[
y = 3x - 4
\]
Based on the options provided, the correct response is:
**y = 3x - 4**
1. **Identifying the slope (m)**: The slope is the rise over run. If the line goes up 3 units for every 1 unit it moves to the right, then the slope is 3.
2. **Identifying the y-intercept (b)**: This is the point where the line crosses the y-axis. If the line crosses the y-axis at -4, then the y-intercept is -4.
Combining these, the slope-intercept form of the line is:
\[
y = 3x - 4
\]
Based on the options provided, the correct response is:
**y = 3x - 4**