Question

What is the slope of the line through (0, 5) and (-2, -1)

Answer 1

3

Explanation:

To find the slope of a line going through two points, (x₁, y₁) and (x₂, y₂), we can use the following formula:
`(y_(2) -y_(1) )/(x_(2) -x_(1) )`. Note that it doesn't really matter which points we call (x₁, y₁) or (x₂, y₂).

Let's call (x₂, y₂) = (0, 5) and (x₁, y₁) = (-2, -1). Now, we can plug in the values for x, y₁, x₂, and y₂ into the formula.

We have:

`(y_(2) -y_(1) )/(x_(2) -x_(1) )=(5-(-1))/(0-(-2)) =(5+1)/(0+2) =(6)/(2) =3`

Therefore, the slope of the line is 3. Hope this helps!