Question

What is the slope of the line passing through left parenthesis 0 comma negative 1 right parenthesis and left parenthesis 3 comma negative 5 right parenthesis​?
Question content area bottom
Part 1
A.
​-3
B.four thirds
four thirds
C.3
3
D.negative four thirds
negative four thirds

Answer 1

To find the slope of the line passing through the points \((0, -1)\) and \((3, -5)\), we can use the formula for the slope \(m\) given by:

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

where \((x_1, y_1) = (0, -1)\) and \((x_2, y_2) = (3, -5)\).

Plugging in the coordinates:

\[
m = \frac{-5 - (-1)}{3 - 0} = \frac{-5 + 1}{3} = \frac{-4}{3}
\]

Thus, the slope of the line is:

\[
\text{Slope} = -\frac{4}{3}
\]

The correct answer is:

**D. negative four thirds**.