Find the slope of the line that passes through the given points, $$ (-3,0) \text { and }(-3,4) $$ The slope of the line, $$ m $$, is $$ \square $$

Question

UpStudy AI · Accepted Answer

To find the slope $$ m $$ of the line that passes through the points $$ (-3, 0) $$ and $$ (-3, 4) $$, we can use the **slope formula**:

$$
m = \frac{y_2 - y_1}{x_2 - x_1}
$$

Let's assign the coordinates:
- Point 1: $$ (x_1, y_1) = (-3, 0) $$
- Point 2: $$ (x_2, y_2) = (-3, 4) $$

Plugging these into the slope formula:

$$
m = \frac{4 - 0}{-3 - (-3)} = \frac{4}{-3 + 3} = \frac{4}{0}
$$

**Division by zero is undefined** in mathematics. This means that the slope $$ m $$ does not have a numerical value in this case.

**Conclusion:**  
The slope of the line, $$ m $$, is **undefined**.
The slope of the line is undefined.

Find the slope of the line that passes through the given points,

The slope of the line, , is