Verified Answer :

A3

(1-(-5))/(4-2)=3

Answer:

Option A is correct

The slope of a line that passes through the points\((2, -5)\) and \((4, 1)\) is 3.

Step-by-step explanation:

Formula of slope(m) for two points is given by:

\(\text{Slope}(m) = \frac{y_2-y_1}{x_2-x_1}\)

Given the two points:

\((2, -5)\) and \((4, 1)\)

Substitute these points in the given formula we have;

\(m = \frac{1-(-5)}{4-2}\)

Simplify:

\(m = \frac{6}{2} = 3\)

Therefore, the slope of a  line that passes through the points \((2, -5)\) and \((4, 1)\) is 3