Answer: The slope of the line segment PQ is [tex]\frac{1}{2}[/tex].
Explanation:
From the given information it is observed that the and line segment have two end points P(-2,1) and Q(4,4).
The slope is he rate of change of one variable with respect to another variable.
If a line segment passing through the two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex], then the slope of the line is defined as,
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
The two given points are P(-2,1) and Q(4,4).
[tex]m=\frac{4-1}{4+2}[/tex]
[tex]m=\frac{3}{6}[/tex]
[tex]m=\frac{1}{2}[/tex]
Therefore, the [tex]\frac{1}{2}[/tex] is the slope of the line segment PQ.
