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

1 answer

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

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

  2. Divide every term by -2 to solve for \(y\): \[ y = \frac{14}{-2} - \frac{6x}{-2} \] \[ y = -7 + 3x \]

  3. Rearranging to the standard slope-intercept form (\(y = mx + b\)): \[ y = 3x - 7 \]

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