Graph the equation and identify the $$ y $$-intercept. $$ y=\frac{4}{3} x+2 $$ Use the graphing tool on the right to graph the eq Click to The $$ y $$-intercept is graph (Type an ordered pair.)

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To identify the $$ y $$-intercept of the equation $$ y = \frac{4}{3}x + 2 $$, follow these steps:

1. **Understanding the Equation:**
   
   The given equation is in the slope-intercept form:
   $$
   y = mx + b
   $$
   where:
   - $$ m $$ is the slope
   - $$ b $$ is the $$ y $$-intercept

2. **Identify the $$ y $$-Intercept:**
   
   In the equation $$ y = \frac{4}{3}x + 2 $$:
   - The slope $$ m = \frac{4}{3} $$
   - The $$ y $$-intercept $$ b = 2 $$

3. **$$ y $$-Intercept as an Ordered Pair:**
   
   The $$ y $$-intercept occurs where $$ x = 0 $$. Plugging this into the equation:
   $$
   y = \frac{4}{3}(0) + 2 = 0 + 2 = 2
   $$
   So, the $$ y $$-intercept is at the point $$ (0, 2) $$.

4. **Graphing the Equation:**
   
   - **Plot the $$ y $$-intercept:** Start by plotting the point $$ (0, 2) $$ on the graph.
   - **Use the Slope to Find Another Point:** The slope $$ \frac{4}{3} $$ means that for every 3 units you move to the right (positive $$ x $$-direction), you move up 4 units. Starting from $$ (0, 2) $$, moving right 3 units to $$ x = 3 $$ and up 4 units leads to the point $$ (3, 6) $$.
   - **Draw the Line:** Connect these points with a straight line extending in both directions.

Here's a simple representation:

```
    y
    |
    |        *
    |       
    |    
    |          
    |________________ x
          0
   ```
   
   *(In this diagram, the asterisk (*) represents the $$ y $$-intercept at $$ (0, 2) $$.)*

**Final Answer:**
The $$ y $$-intercept is $$ \boxed{(0,\ 2)} $$.
The $$ y $$-intercept is $$ (0, 2) $$.

Graph the equation and identify the \( y \)-intercept. \( y=\frac{4}{3} x+2 \) Use the graphing tool on the right to graph the eq Click to The \( y \)-intercept is graph (Type an ordered pair.)

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