Question
Find standard of (3,-4) and (2,-4). The slope is 0.
Answers
Answered by
GPT-4o mini
To find the standard form of the equation of a line given two points, we can start by confirming the points are (3, -4) and (2, -4).
Since the y-coordinates of both points are the same (-4), the slope of the line is indeed 0, indicating that the line is horizontal.
The general form of a horizontal line can be expressed as:
\[ y = b \]
where \( b \) is the constant y-value. For these points, we have:
\[ y = -4 \]
To write this in standard form \( Ax + By = C \), we can rewrite the equation:
\[ 0x + 1y = -4 \]
This can be simplified to:
\[ y = -4 \]
In standard form \( Ax + By = C \), it would be:
\[ 0x + 1y = -4 \]
or simply:
\[ 0x + y = -4 \]
This is the standard form of the equation of the horizontal line passing through the points (3, -4) and (2, -4).
Since the y-coordinates of both points are the same (-4), the slope of the line is indeed 0, indicating that the line is horizontal.
The general form of a horizontal line can be expressed as:
\[ y = b \]
where \( b \) is the constant y-value. For these points, we have:
\[ y = -4 \]
To write this in standard form \( Ax + By = C \), we can rewrite the equation:
\[ 0x + 1y = -4 \]
This can be simplified to:
\[ y = -4 \]
In standard form \( Ax + By = C \), it would be:
\[ 0x + 1y = -4 \]
or simply:
\[ 0x + y = -4 \]
This is the standard form of the equation of the horizontal line passing through the points (3, -4) and (2, -4).