Question

A line contains points M(1, 3) and N(5, 0). What is the slope of MN?

negative StartFraction 4 Over 3 EndFraction
negative StartFraction 3 Over 4 EndFraction
StartFraction 3 Over 4 EndFraction
StartFraction 4 Over 3 EndFraction

Answer 1

To find the slope of the line segment connecting the points \( M(1, 3) \) and \( N(5, 0) \), we use the slope formula:

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

Here, we can designate the points as follows:
- \( (x_1, y_1) = (1, 3) \)
- \( (x_2, y_2) = (5, 0) \)

Now, we can plug in the coordinates into the slope formula:

\[
m = \frac{0 - 3}{5 - 1}
\]

Calculating the numerator and denominator:

\[
m = \frac{-3}{4}
\]

Thus, the slope of line segment \( MN \) is:

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

Therefore, the answer is:

**negative StartFraction 3 Over 4 EndFraction**.