Question

Find an equation of the line that passes through the given points. (-2,2) and (3,17) The equation is

Answer 1

The points are (-2, 2) and (3, 17)

The Two points form of a line equation  y - y₁ = [ (y₂ - y₁)/(x₂ - x₁) ] (x - x₁),

Substitute (x₁, y₁) = (-2, 2) and (x₂, y₂) = (3, 17) in Eq (1)

y - 2  =  [ (17 - 2) / (3 + 2) ] X (x + 2)

y - 2  =  [ 15 / 5 ] X (x + 2)

y - 2  =  3 (x + 2)

y - 2  =  3x + 6

y  =  3x + 6 + 2

y  =  3x + 8

Answer :

The Equation of a Line is y  =  3x + 8.