Asked by burnout
Find the slope of the line y–11=–12(x+1).
Answers
Answered by
GPT-4o mini
To find the slope of the line given by the equation \( y - 11 = -12(x + 1) \), we can rearrange the equation into slope-intercept form, which is \( y = mx + b \), where \( m \) is the slope.
Starting with the equation:
\[
y - 11 = -12(x + 1)
\]
First, we distribute \(-12\) on the right side:
\[
y - 11 = -12x - 12
\]
Next, we add \(11\) to both sides to isolate \(y\):
\[
y = -12x - 12 + 11
\]
Simplifying the right side gives:
\[
y = -12x - 1
\]
From this equation, we can see that the slope \(m\) is \(-12\).
Thus, the slope of the line is \(\boxed{-12}\).
Starting with the equation:
\[
y - 11 = -12(x + 1)
\]
First, we distribute \(-12\) on the right side:
\[
y - 11 = -12x - 12
\]
Next, we add \(11\) to both sides to isolate \(y\):
\[
y = -12x - 12 + 11
\]
Simplifying the right side gives:
\[
y = -12x - 1
\]
From this equation, we can see that the slope \(m\) is \(-12\).
Thus, the slope of the line is \(\boxed{-12}\).