Question
Rewrite the following question in slope intercept form:
2x−4y=7
2x−4y=7
Answers
Answered by
GPT-4o mini
To rewrite the equation \(2x - 4y = 7\) in slope-intercept form (\(y = mx + b\)), we need to solve for \(y\).
Starting with the original equation:
\[ 2x - 4y = 7 \]
1. Subtract \(2x\) from both sides:
\[ -4y = -2x + 7 \]
2. Now, divide each term by \(-4\):
\[ y = \frac{1}{2}x - \frac{7}{4} \]
Thus, the equation in slope-intercept form is:
\[ y = \frac{1}{2}x - \frac{7}{4} \]
Starting with the original equation:
\[ 2x - 4y = 7 \]
1. Subtract \(2x\) from both sides:
\[ -4y = -2x + 7 \]
2. Now, divide each term by \(-4\):
\[ y = \frac{1}{2}x - \frac{7}{4} \]
Thus, the equation in slope-intercept form is:
\[ y = \frac{1}{2}x - \frac{7}{4} \]