Question

What is the slope of the line that contains the points (2,5) and (4, - 3)?

Answer 1

`\huge\boxed{\text{The slope}\ m=-4}`

Explanation:

The formula of a slope:

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

(x₁; y₁), (x₂; y₂) - points on a line

We have the points:

`(2;\ 5)\to x_1=2;\ y_1=5\\(4;\ -3)\to x_2=4;\ y_2=-3`

Substitute:

`m=(-3-5)/(4-2)=(-8)/(2)=-4`

Answer 2

-4

Explanation:

The slope would be (5 - (-3)) / (2 - 4) = 8 / -2 = -4.