Question

Question
Write the linear equation 3y=6x−18
in slope-intercept form.(1 point)
Incorrect

Answer 1

To write the equation \(3y = 6x - 18\) in slope-intercept form, we want to isolate \(y\) on one side of the equation. The slope-intercept form is given by \(y = mx + b\), where \(m\) is the slope and \(b\) is the y-intercept.

Here are the steps:

1. Start with the equation:
\[
3y = 6x - 18
\]

2. Divide every term by 3 to solve for \(y\):
\[
y = \frac{6x}{3} - \frac{18}{3}
\]

3. Simplify:
\[
y = 2x - 6
\]

Now the equation \(y = 2x - 6\) is in slope-intercept form, where the slope \(m = 2\) and the y-intercept \(b = -6\).