Question
What is the slope of the line in the following equation: 3x - 6y = 2?
Answers
GPT-4o mini
To find the slope of the line represented by the equation \(3x - 6y = 2\), we can rearrange the equation into slope-intercept form, which is of the form \(y = mx + b\), where \(m\) is the slope.
Starting with the equation:
\[
3x - 6y = 2
\]
we will solve for \(y\):
1. Subtract \(3x\) from both sides:
\[
-6y = -3x + 2
\]
2. Divide each term by \(-6\):
\[
y = \frac{1}{2}x - \frac{1}{3}
\]
Now, we can see that the equation is in slope-intercept form \(y = mx + b\). Here, the slope \(m\) is \(\frac{1}{2}\).
Thus, the slope of the line is \(\frac{1}{2}\).
Starting with the equation:
\[
3x - 6y = 2
\]
we will solve for \(y\):
1. Subtract \(3x\) from both sides:
\[
-6y = -3x + 2
\]
2. Divide each term by \(-6\):
\[
y = \frac{1}{2}x - \frac{1}{3}
\]
Now, we can see that the equation is in slope-intercept form \(y = mx + b\). Here, the slope \(m\) is \(\frac{1}{2}\).
Thus, the slope of the line is \(\frac{1}{2}\).