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Transform the linear equation −2y=14−6x to slope-intercept form.(1 point)

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To transform the equation \(-2y = 14 - 6x\) 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: \[ -2y = 14 - 6x \]

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

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

  4. Rearranging gives: \[ y = 3x - 7 \]

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