7. Use intercepts to graph the equation $$ 5 x+3 y=-15 $$.

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To graph the equation $$ 5x + 3y = -15 $$ using intercepts, we will find both the x-intercept and the y-intercept.

### Step 1: Find the x-intercept
The x-intercept occurs when $$ y = 0 $$. We can find the x-intercept by substituting $$ y = 0 $$ into the equation:

$$
5x + 3(0) = -15
$$

This simplifies to:

$$
5x = -15
$$

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

$$
x = \frac{-15}{5} = -3
$$

So, the x-intercept is at the point $$ (-3, 0) $$.

### Step 2: Find the y-intercept
The y-intercept occurs when $$ x = 0 $$. We can find the y-intercept by substituting $$ x = 0 $$ into the equation:

$$
5(0) + 3y = -15
$$

This simplifies to:

$$
3y = -15
$$

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

$$
y = \frac{-15}{3} = -5
$$

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

### Step 3: Plot the intercepts
Now that we have both intercepts, we can plot the points:
- x-intercept: $$ (-3, 0) $$
- y-intercept: $$ (0, -5) $$

### Step 4: Draw the line
To graph the equation, we can draw a straight line through the points $$ (-3, 0) $$ and $$ (0, -5) $$.

### Summary
The intercepts we found are:
- x-intercept: $$ (-3, 0) $$
- y-intercept: $$ (0, -5) $$

These points can be used to graph the line represented by the equation $$ 5x + 3y = -15 $$.
To graph the equation $$ 5x + 3y = -15 $$, find the x-intercept at $$ (-3, 0) $$ and the y-intercept at $$ (0, -5) $$. Plot these points and draw a straight line through them.

7. Use intercepts to graph the equation \( 5 x+3 y=-15 \).

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