Find the $$ x $$ and $$ y $$ intercepts of the equation: $$ -2 x-3 y=-24 $$ The intercepts are: $$ x $$ intercept $$ =\square, 0) $$ $$ y $$ intercept $$ =(0, \square) $$ Question Help: Video Submit Ouestion

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To find the $$ x $$ and $$ y $$ intercepts of the equation $$ -2x - 3y = -24 $$, 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 $$ x $$.

$$
-2x - 3(0) = -24
$$

This simplifies to:

$$
-2x = -24
$$

Now, divide both sides by -2:

$$
x = 12
$$

Thus, the $$ x $$-intercept is $$ (12, 0) $$.

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

$$
-2(0) - 3y = -24
$$

This simplifies to:

$$
-3y = -24
$$

Now, divide both sides by -3:

$$
y = 8
$$

Thus, the $$ y $$-intercept is $$ (0, 8) $$.

### Final Answer
The intercepts are:
- $$ x $$ intercept $$ = (12, 0) $$
- $$ y $$ intercept $$ = (0, 8) $$
The $$ x $$-intercept is $$ (12, 0) $$ and the $$ y $$-intercept is $$ (0, 8) $$.

Find the \( x \) and \( y \) intercepts of the equation: \( -2 x-3 y=-24 \) The intercepts are: \( x \) intercept \( =\square, 0) \) \( y \) intercept \( =(0, \square) \) Question Help: Video Submit Ouestion

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