Question

Find the slope that passes through (-10, -1) and (5, -4)
A. -3
B. -1/5
C. 1/3
D. 1

Answer 1

To find the slope of the line that passes through the points \((-10, -1)\) and \((5, -4)\), we can use the formula for slope (m):

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

where \((x_1, y_1)\) is \((-10, -1)\) and \((x_2, y_2)\) is \((5, -4)\).

Substituting the values in:

\[
m = \frac{-4 - (-1)}{5 - (-10)}
\]

This simplifies to:

\[
m = \frac{-4 + 1}{5 + 10} = \frac{-3}{15}
\]

Now, simplifying \(-3/15\):

\[
m = -\frac{1}{5}
\]

Thus, the slope that passes through the two points is:

\[
\boxed{-\frac{1}{5}}
\]

Therefore, the correct answer is B. \(-\frac{1}{5}\).