Transform the linear equation −2y=14−6x

Question

to slope-intercept for

Answer 1

To convert the linear equation \(-2y = 14 - 6x\) to slope-intercept form \(y = mx + b\), follow these steps:

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

2. Divide every term by \(-2\) to solve for \(y\): \[ y = \frac{14}{-2} - \frac{6x}{-2} \]

3. Simplify the fractions: \[ y = -7 + 3x \] or you can also write it as: \[ y = 3x - 7 \]

Now the equation is in slope-intercept form \(y = mx + b\) where \(m = 3\) (the slope) and \(b = -7\) (the y-intercept).