Question What is the slope of the line that passes through the points (0,-4) and (30,-9) ? Write your answer in simplest form. Answer Attemptiout of square

To find the slope of the line that passes through the points $$(0,-4)$$ and $$(30,-9)$$ , we can use the slope formula:

$$\text{slope} = \frac{y_2 - y_1}{x_2 - x_1}$$

Substituting the given points into the formula, we have:

$$\text{slope} = \frac{-9 - (-4)}{30 - 0}$$

Simplifying the numerator, we get:

$$\text{slope} = \frac{-9 + 4}{30}$$

$$\text{slope} = \frac{-5}{30}$$

To simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 5:

$$\text{slope} = \frac{-5}{30} = \frac{-1}{6}$$

Therefore, the slope of the line that passes through the points $$(0,-4)$$ and $$(30,-9)$$ is $$\boxed{-\frac{1}{6}}$$ .