Question

Question
Transform the linear equation -2y = 14 - 6x into slope intercept form. (1 point)
Responses

y = 3x + 7
y = 3x + 7

y = 3x - 7
y = 3x - 7

y = 7x - 3
y = 7x - 3

2y = 7 - 6x

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 original equation:
\[
-2y = 14 - 6x
\]

2. To isolate \(y\), divide each term by \(-2\):
\[
y = \frac{14}{-2} + \frac{-6x}{-2}
\]

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

4. Rearrange it for standard slope-intercept form \(y = mx + b\):
\[
y = 3x - 7
\]

Thus, the correct slope-intercept form is:
\[
\boxed{y = 3x - 7}
\]