Question

a line contains points m(1, 3) and n(5, 0). what is the slope of \\(\overline{mn}\\)?
\\(\circ -\frac{4}{3}\\)
\\(\circ -\frac{3}{4}\\)
\\(\circ \frac{3}{4}\\)
\\(\circ \frac{4}{3}\\)

Explanation:

Step1: Recall the slope formula

The slope \( m \) between two points \( (x_1, y_1) \) and \( (x_2, y_2) \) is given by \( m=\frac{y_2 - y_1}{x_2 - x_1} \).

Step2: Identify the coordinates

For points \( M(1, 3) \) and \( N(5, 0) \), we have \( x_1 = 1 \), \( y_1 = 3 \), \( x_2 = 5 \), \( y_2 = 0 \).

Step3: Substitute into the formula

Substitute the values into the slope formula: \( m=\frac{0 - 3}{5 - 1}=\frac{-3}{4}=-\frac{3}{4} \).

Answer:

\( -\frac{3}{4} \) (corresponding to the option "-\(\frac{3}{4}\)")