Question

Find the slope of a line passing through points (−5,−2) and (4,−8). (1 point)
−3/2
2/3
−2/3
−1/6

Answer 1

To find the slope of the line passing through the points \((-5, -2)\) and \( (4, -8)\), we can use the slope formula:

\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]

Here, \((x_1, y_1) = (-5, -2)\) and \((x_2, y_2) = (4, -8)\).

Substituting the values into the formula:

\[
m = \frac{-8 - (-2)}{4 - (-5)}
\]

Calculating the numerator:

\[
-8 - (-2) = -8 + 2 = -6
\]

Calculating the denominator:

\[
4 - (-5) = 4 + 5 = 9
\]

Now, substituting these values into the slope formula:

\[
m = \frac{-6}{9}
\]

Simplifying the fraction:

\[
m = \frac{-2}{3}
\]

Thus, the slope of the line passing through the points \((-5, -2)\) and \( (4, -8)\) is \(\frac{-2}{3}\).

The correct answer is:

\(-2/3\)