Find the slope of the line that passes through $$ (-67,-4) $$ and $$ (-70,23) $$. Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Question

UpStudy AI · Accepted Answer

To find the slope of the line that passes through the points $$(-67, -4)$$ and $$(-70, 23)$$, we use the formula for the slope $$m$$ given by:

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

Here, we can assign the coordinates as follows:
- $$(x_1, y_1) = (-67, -4)$$
- $$(x_2, y_2) = (-70, 23)$$

Now, we can substitute these values into the slope formula:

$$
m = \frac{23 - (-4)}{-70 - (-67)}
$$

Calculating the differences in the numerator and denominator:

1. For the numerator:
   $$
   23 - (-4) = 23 + 4 = 27
   $$

2. For the denominator:
   $$
   -70 - (-67) = -70 + 67 = -3
   $$

Now substituting these results back into the slope formula:

$$
m = \frac{27}{-3}
$$

Simplifying this fraction:

$$
m = -9
$$

Thus, the slope of the line that passes through the points $$(-67, -4)$$ and $$(-70, 23)$$ is

$$
\boxed{-9}
$$
The slope is $$-9$$.

Find the slope of the line that passes through \( (-67,-4) \) and \( (-70,23) \). Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Solución de inteligencia artificial de Upstudy

Responder

Solución

Extra Insights

preguntas relacionadas

Latest Pre Algebra Questions