Find the $$ x $$ - and $$ y $$-intercepts for the following equation. Then use the intercepts to graph the equation. $$ y=2 x+5 $$ $$ x $$-intercept: $$ y $$-intercept: $$ (0 $$,

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1. **Find the $$ y $$-intercept:**

The $$ y $$-intercept occurs when $$ x=0 $$. Substitute $$ x=0 $$ into the equation:

$$
   y = 2(0) + 5 = 5.
   $$

So, the $$ y $$-intercept is $$ (0,5) $$.

2. **Find the $$ x $$-intercept:**

The $$ x $$-intercept occurs when $$ y=0 $$. Set $$ y=0 $$ in the equation and solve for $$ x $$:

$$
   0 = 2x + 5.
   $$

Subtract $$ 5 $$ from both sides:

$$
   -5 = 2x.
   $$

Divide both sides by $$ 2 $$:

$$
   x = -\frac{5}{2}.
   $$

So, the $$ x $$-intercept is $$ \left(-\frac{5}{2}, 0\right) $$.

3. **Graphing the Equation:**

- Plot the $$ y $$-intercept $$ (0,5) $$.
   - Plot the $$ x $$-intercept $$ \left(-\frac{5}{2}, 0\right) $$.
   - Draw a straight line through these two points. The line extends infinitely in both directions.

The intercepts are:

- $$ x $$-intercept: $$ \left(-\frac{5}{2}, 0\right) $$
- $$ y $$-intercept: $$ (0,5) $$
$$ x $$-intercept: $$ \left(-\frac{5}{2}, 0\right) $$, $$ y $$-intercept: $$ (0,5) $$.

Find the - and -intercepts for the following equation. Then use the intercepts to graph the equation.

-intercept:
-intercept: ,

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Find the - and -intercepts for the following equation. Then use the intercepts to graph the equation. -intercept: -intercept: ,