transform the linear equation −2y = 14 − 6x to slope-intercept form

Answer 1

To transform the linear equation \(-2y = 14 - 6x\) into slope-intercept form \(y = mx + b\), where \(m\) is the slope and \(b\) is the y-intercept, follow these steps:

1. Start with the given equation: \[ -2y = 14 - 6x \]

2. Solve for \(y\) by dividing all terms by -2: \[ y = \frac{14}{-2} - \frac{6x}{-2} \]

3. Simplify the fractions: \[ y = -7 + 3x \]

4. Rearranging the equation to standard slope-intercept form, we write: \[ y = 3x - 7 \]

Thus, the equation in slope-intercept form is: \[ y = 3x - 7 \]

Answer 2

y = ____

Answer 3

The equation in slope-intercept form is:

\[ y = 3x - 7 \]

So you can fill in the blank as:

\[ y = 3x - 7 \]