Find the $$ x $$-intercept and $$ y $$-intercept of the line. $$ 5 x-6 y=14 $$ $$ x $$-intercept: $$ \square $$

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To find the $$ x $$-intercept and $$ y $$-intercept of the line given by the equation $$ 5x - 6y = 14 $$, we can follow these steps:

### Step 1: Find the $$ x $$-intercept
The $$ x $$-intercept occurs when $$ y = 0 $$. We can substitute $$ y = 0 $$ into the equation and solve for $$ x $$.

$$
5x - 6(0) = 14
$$

This simplifies to:

$$
5x = 14
$$

Now, we can solve for $$ x $$:

$$
x = \frac{14}{5}
$$

### Step 2: Find the $$ y $$-intercept
The $$ y $$-intercept occurs when $$ x = 0 $$. We can substitute $$ x = 0 $$ into the equation and solve for $$ y $$.

$$
5(0) - 6y = 14
$$

This simplifies to:

$$
-6y = 14
$$

Now, we can solve for $$ y $$:

$$
y = -\frac{14}{6} = -\frac{7}{3}
$$

### Summary of Results
- The $$ x $$-intercept is $$ \frac{14}{5} $$.
- The $$ y $$-intercept is $$ -\frac{7}{3} $$.

Thus, the $$ x $$-intercept is:

$$
\frac{14}{5}
$$
The $$ x $$-intercept is $$ \frac{14}{5} $$.

Find the \( x \)-intercept and \( y \)-intercept of the line. \( 5 x-6 y=14 \) \( x \)-intercept: \( \square \)

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