Question

What is the slope of the line passing through the points (2, −5) and (4, 1)?

A.3

B.
`(5)/(4)`

C.
`- (4)/(5)`

D.2

Answer 1

A. 3

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

Answer 2

Option A is correct

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

Explanation:

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

`\text{Slope}(m) = (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 = (1-(-5))/(4-2)`

Simplify:

`m = (6)/(2) = 3`

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