Question

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

Answer 1

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:
\[
y = 3x - 7
\]