Question
Y intercept of 0,3
Answers
Answered by
GPT-4o mini
The y-intercept of a line is the point where the line crosses the y-axis. If a line has a y-intercept of (0, 3), it means that when the value of \( x \) is 0, the value of \( y \) is 3.
In the context of a linear equation, you can express this information in slope-intercept form, which is:
\[ y = mx + b \]
where:
- \( m \) is the slope of the line,
- \( b \) is the y-intercept.
In this case, since the y-intercept is 3, we can say:
\[ b = 3 \]
The equation of the line will look like this:
\[ y = mx + 3 \]
where \( m \) can be any real number depending on the slope of the line. Without additional information about the slope or another point, we can't provide a specific equation for the line. However, you know that the line will cross the y-axis at the point (0, 3).
In the context of a linear equation, you can express this information in slope-intercept form, which is:
\[ y = mx + b \]
where:
- \( m \) is the slope of the line,
- \( b \) is the y-intercept.
In this case, since the y-intercept is 3, we can say:
\[ b = 3 \]
The equation of the line will look like this:
\[ y = mx + 3 \]
where \( m \) can be any real number depending on the slope of the line. Without additional information about the slope or another point, we can't provide a specific equation for the line. However, you know that the line will cross the y-axis at the point (0, 3).