Question

Complete the point-slope equation of the line through (1,-1) and (5,2)

Answer 1

5 is the answer you are looking for

Answer 2

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

Explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Calculate m using the slope formula

m =
`(y_(2)-y_(1) )/(x_(2)-x_(1) )`

with (x₁, y₁ ) = (1, - 1) and (x₂, y₂ ) = (5, 2)

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

using (a, b) = (1, - 1 ), then

y - (- 1) =
`(3)/(4)`(x - 1) , that is

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