Question

The graph below shows a line segment PQ: Graph of line segment PQ with endpoints at negative 2 comma 1 and 4 comma 4 What is the slope of the line segment PQ?

Answer 1

Answer: The slope of the line segment PQ is
`(1)/(2)`.

Step-by-step 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
`(x_1,y_1)` and
`(x_2,y_2)`, then the slope of the line is defined as,

`m=(y_2-y_1)/(x_2-x_1)`

The two given points are P(-2,1) and Q(4,4).

`m=(4-1)/(4+2)`

`m=(3)/(6)`

`m=(1)/(2)`

Therefore, the
`(1)/(2)` is the slope of the line segment PQ.