Pair points algebra

Question

Find an equation of the line that contains the given pair of points (16,19)(2,5). The equation of the line is what?

Answer 1

First, find the slope m.

m = (y₂ - y₁) / (x₂ - x₁)

x₁ = 16

y₁ = 19

x₂ = 2

y₂ = 5

Plug in the numbers and get m. In point slope form, the equations is

y - y₁ = m(x - x₁)

or

y - y₂ = m(x - x₂)

Both are correct equations for the given line. Plug in the numbers. You can convert either one to the form y=mx+b if you wish.