Question

What is the slope of the line that contains the point (4,6) and (12,3) ?

Answer 1

Slope = change in y / change in x.

Between (4, 6) and (12, 3) represents (x₁, y₁) and (x₂, y₂):

x₁ = 4, y₁ = 6, x₂ = 12, y₂ = 3

Slope = (y₂ - y₁) / (x₂ - x₁) = (3 - 6) / (12 - 4) = -3 / 8

Slope = -3/8

I hope this helps.

Answer 2

`(y_(2)-y_(1) )/(x_(2)-x_(1))` =
`(3 - 6)/(12 - 4)` =
`(-3)/(8)`.

The slope is
`(-3)/(8)`x.