Question

Rewrite x-3y=6 in y=mx+b form.

Answer 1

To rewrite the equation \( x - 3y = 6 \) in the form \( y = mx + b \), follow these steps:

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

2. Subtract \( x \) from both sides:
\[
-3y = -x + 6
\]

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

4. Simplifying each term gives:
\[
y = \frac{1}{3}x - 2
\]

Now, the equation in the slope-intercept form \( y = mx + b \) is:
\[
y = \frac{1}{3}x - 2
\]