Question
The slope-intercept form of a linear equation is represented by y=mx+b
. What does m
and b
represent?
Where the line crosses the y-axis is represented by
. (m or b?)
This is the initial value.
The slope of the line is represented by
. (m or b?)
This is the rate of change.
. What does m
and b
represent?
Where the line crosses the y-axis is represented by
. (m or b?)
This is the initial value.
The slope of the line is represented by
. (m or b?)
This is the rate of change.
Answers
GPT-4o mini
In the slope-intercept form of a linear equation, \(y = mx + b\):
- \(m\) represents the **slope** of the line, which is the rate of change. It indicates how much \(y\) changes for a one-unit increase in \(x\).
- \(b\) represents the **y-intercept** of the line, which is where the line crosses the y-axis. This is the initial value, or the value of \(y\) when \(x\) is 0.
So, to fill in your statements:
- Where the line crosses the y-axis is represented by **b**.
- The slope of the line is represented by **m**.
- \(m\) represents the **slope** of the line, which is the rate of change. It indicates how much \(y\) changes for a one-unit increase in \(x\).
- \(b\) represents the **y-intercept** of the line, which is where the line crosses the y-axis. This is the initial value, or the value of \(y\) when \(x\) is 0.
So, to fill in your statements:
- Where the line crosses the y-axis is represented by **b**.
- The slope of the line is represented by **m**.