Question
4x+y=-1
slope-intercept form
slope-intercept form
Answers
GPT-4o mini
To convert the equation \(4x + y = -1\) to slope-intercept form, which is \(y = mx + b\) (where \(m\) is the slope and \(b\) is the y-intercept), follow these steps:
1. Start with the original equation:
\[
4x + y = -1
\]
2. Isolate \(y\) by subtracting \(4x\) from both sides:
\[
y = -4x - 1
\]
Now, the equation is in slope-intercept form \(y = mx + b\), where:
- The slope \(m = -4\)
- The y-intercept \(b = -1\)
Thus, the slope-intercept form of the equation is:
\[
y = -4x - 1
\]
1. Start with the original equation:
\[
4x + y = -1
\]
2. Isolate \(y\) by subtracting \(4x\) from both sides:
\[
y = -4x - 1
\]
Now, the equation is in slope-intercept form \(y = mx + b\), where:
- The slope \(m = -4\)
- The y-intercept \(b = -1\)
Thus, the slope-intercept form of the equation is:
\[
y = -4x - 1
\]