Question

please Write the linear equation 3y=6x−18 in slope-intercept form

Answer 1

=____

Answer 2

To write the equation \( 3y = 6x - 18 \) in slope-intercept form, which is \( y = mx + b \) (where \( m \) is the slope and \( b \) is the y-intercept), follow these steps:

1. **Divide both sides by 3** to solve for \( y \):
\[
y = \frac{6x - 18}{3}
\]

2. **Simplify the right side**:
\[
y = \frac{6x}{3} - \frac{18}{3}
\]
\[
y = 2x - 6
\]

So, the equation in slope-intercept form is:
\[
y = 2x - 6
\]

Here, the slope \( m = 2 \) and the y-intercept \( b = -6 \).

Answer 3

It seems like you might be looking for a way to express the final result clearly. The slope-intercept form of the equation \(3y = 6x - 18\) is:

\[
y = 2x - 6
\]

If you are looking for something different or have another question, please let me know!