Line K passes through the point $$ (15,18) $$ and is parallel to the line given by $$ y=\frac{2}{3} x-6 \text {. } $$ What is the equation of line K ? $$ \quad $$ Give your answer in the form $$ y=m x+c $$ where $$ m $$ and $$ c $$ are integers or fractions in their simplest forms.

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To find the equation of line $$ K $$ that passes through the point $$ (15, 18) $$ and is parallel to the line $$ y = \frac{2}{3}x - 6 $$, follow these steps:

1. **Determine the Slope:**
   - The given line has a slope of $$ \frac{2}{3} $$.
   - Since parallel lines have the same slope, the slope $$ m $$ of line $$ K $$ is also $$ \frac{2}{3} $$.

2. **Use the Point-Slope Form:**
   - The point-slope form of a line is:
     $$
     y - y_1 = m(x - x_1)
     $$
   - Plugging in the point $$ (15, 18) $$ and the slope $$ m = \frac{2}{3} $$:
     $$
     y - 18 = \frac{2}{3}(x - 15)
     $$

3. **Simplify to Slope-Intercept Form:**
   - Distribute the slope on the right side:
     $$
     y - 18 = \frac{2}{3}x - 10
     $$
   - Add 18 to both sides to solve for $$ y $$:
     $$
     y = \frac{2}{3}x + 8
     $$

So, the equation of line $$ K $$ is:

$$
y = \frac{2}{3}x + 8
$$

**Answer:**  
After simplifying, an equation for line K is $$ y = \dfrac{2}{3}\,x\,+\,8 $$.
The equation of line $$ K $$ is $$ y = \frac{2}{3}x + 8 $$.

Line K passes through the point \( (15,18) \) and is parallel to the line given by \[ y=\frac{2}{3} x-6 \text {. } \] What is the equation of line K ? \( \quad \) Give your answer in the form \( y=m x+c \) where \( m \) and \( c \) are integers or fractions in their simplest forms.

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