Determine the intercepts of the line. Do not round your answers. $$ y=5 x-13 $$ $$ y $$-intercept: $$ x $$-intercept:

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To determine the intercepts of the line given by the equation $$ y = 5x - 13 $$, follow these steps:

### 1. $$ y $$-Intercept

The $$ y $$-intercept occurs where the line crosses the $$ y $$-axis. At this point, the value of $$ x $$ is 0.

**Calculation:**
$$
y = 5(0) - 13 = -13
$$

**$$ y $$-Intercept:**
$$
(0, -13)
$$

### 2. $$ x $$-Intercept

The $$ x $$-intercept occurs where the line crosses the $$ x $$-axis. At this point, the value of $$ y $$ is 0.

**Calculation:**
$$
0 = 5x - 13 \
5x = 13 \
x = \frac{13}{5}
$$

**$$ x $$-Intercept:**
$$
\left(\frac{13}{5}, 0\right)
$$

### Summary

- **$$ y $$-intercept:** $$ (0, -13) $$
- **$$ x $$-intercept:** $$ \left(\frac{13}{5}, 0\right) $$
$$ y $$-intercept: $$ (0, -13) $$ $$ x $$-intercept: $$ \left(\frac{13}{5}, 0\right) $$

Determine the intercepts of the line. Do not round your answers. \( y=5 x-13 \) \( y \)-intercept: \( x \)-intercept:

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