Put the following equation of a line into slope-intercept form, simplifying all fractions. $$ 4 x+6 y=36 $$

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To convert the equation $$ 4x + 6y = 36 $$ into **slope-intercept form** ($$ y = mx + b $$), follow these steps:

1. **Isolate the $$ y $$-term:**

$$
   4x + 6y = 36 \
   6y = -4x + 36
   $$

2. **Solve for $$ y $$ by dividing every term by 6:**

$$
   y = \frac{-4}{6}x + \frac{36}{6}
   $$

3. **Simplify the fractions:**

$$
   y = -\frac{2}{3}x + 6
   $$

So, the **slope-intercept form** of the equation is:

$$
y = -\frac{2}{3}x + 6
$$

**Where:**
- **Slope ($$ m $$)** is $$ -\frac{2}{3} $$
- **Y-intercept ($$ b $$)** is $$ 6 $$

This means the line has a slope of $$-\frac{2}{3}$$ and crosses the y-axis at the point $$(0, 6)$$.
The equation in slope-intercept form is $$ y = -\frac{2}{3}x + 6 $$.

Put the following equation of a line into slope-intercept form, simplifying all fractions. \[ 4 x+6 y=36 \]

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