Question

Complete the point-slope equation of the line through

(1,-1) and (5,2)
use exact numbers

y - (-1) =

Answer 1

First: info on point-slope form.

• Formula: y - y₁ = m(x - x₁)

We need to find the slope of the line first.

`m = (2 + 1)/(5 - 1) = (3)/(4)`

Slope:
`(3)/(4)`

Now we can complete the point-slope equation of the line.

`y - (-1) = (3)/(4)(x - 1)\\\\y + 1 = (3)/(4)(x - 1)`

*These equations are equivalent.