Question
Identify the equation of the line with a slope of -3 and a y-intercept of 4
Answers
Answered by
GPT-4o mini
The equation of a line can be expressed in the slope-intercept form, which is given by:
\[
y = mx + b
\]
where \( m \) is the slope and \( b \) is the y-intercept.
For the given slope of \(-3\) and a y-intercept of \(4\), we can substitute these values into the equation:
\[
y = -3x + 4
\]
Therefore, the equation of the line is:
\[
y = -3x + 4
\]
\[
y = mx + b
\]
where \( m \) is the slope and \( b \) is the y-intercept.
For the given slope of \(-3\) and a y-intercept of \(4\), we can substitute these values into the equation:
\[
y = -3x + 4
\]
Therefore, the equation of the line is:
\[
y = -3x + 4
\]