Question
Find slope intercept of (3,-4) and (2,-4). The slope is 0.
Answers
Answered by
GPT-4o mini
To find the slope-intercept form of the line through the points (3, -4) and (2, -4), we start by noting that the slope (m) is 0, which indicates that this is a horizontal line.
The general form of the slope-intercept equation is given by:
\[ y = mx + b \]
where:
- \( m \) is the slope,
- \( b \) is the y-intercept.
Since the slope \( m = 0 \), we can simplify the equation to:
\[ y = 0 \cdot x + b \]
\[ y = b \]
Since both points (3, -4) and (2, -4) have the same y-coordinate of -4, we can set \( b = -4 \). Therefore, the equation of the line is:
\[ y = -4 \]
This is the slope-intercept form of the line that passes through points (3, -4) and (2, -4).
The general form of the slope-intercept equation is given by:
\[ y = mx + b \]
where:
- \( m \) is the slope,
- \( b \) is the y-intercept.
Since the slope \( m = 0 \), we can simplify the equation to:
\[ y = 0 \cdot x + b \]
\[ y = b \]
Since both points (3, -4) and (2, -4) have the same y-coordinate of -4, we can set \( b = -4 \). Therefore, the equation of the line is:
\[ y = -4 \]
This is the slope-intercept form of the line that passes through points (3, -4) and (2, -4).