Question

Two vertices of a rectangle on the coordinate plane are (-3,2) and (2,-1). Calculate the slope of the line that passes through these two points.

M=5/3
M= -3/5
M= -5/3
M=3/5

Answer 1

What is the answer

Answer 2

To calculate the slope \( M \) of the line that passes through the two points \((-3, 2)\) and \((2, -1)\), we use the slope formula:

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

Here, \((x_1, y_1) = (-3, 2)\) and \((x_2, y_2) = (2, -1)\).

Substituting the values into the formula:

\[
M = \frac{-1 - 2}{2 - (-3)} = \frac{-1 - 2}{2 + 3} = \frac{-3}{5}
\]

Thus, the slope of the line that passes through the points \((-3, 2)\) and \((2, -1)\) is:

\[
\boxed{-\frac{3}{5}}
\]

Answer 3

The slope of the line that passes through the points \((-3, 2)\) and \((2, -1)\) is

\[
\boxed{-\frac{3}{5}}.
\]