Answer:
Option A is correct
The slope of a line that passes through the points[tex](2, -5)[/tex] and [tex](4, 1)[/tex] is 3.
Step-by-step explanation:
Formula of slope(m) for two points is given by:
[tex]\text{Slope}(m) = \frac{y_2-y_1}{x_2-x_1}[/tex]
Given the two points:
[tex](2, -5)[/tex] and [tex](4, 1)[/tex]
Substitute these points in the given formula we have;
[tex]m = \frac{1-(-5)}{4-2}[/tex]
Simplify:
[tex]m = \frac{6}{2} = 3[/tex]
Therefore, the slope of a line that passes through the points [tex](2, -5)[/tex] and [tex](4, 1)[/tex] is 3
