Question

Choose the point-slope form of the equation below that represents the line that passes through the points (-3, 2) and (2, 1)

Answer 1

y - 1 = -
`(1)/(5)`(x - 2)

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 gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (- 3, 2) and (x₂, y₂ ) = (2, 1)

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

use either of the 2 points as the point on the line

using (a, b) = (2, 1), then

y - 1 = -
`(1)/(5)`(x - 2) ← in point-slope form

Answer 2

y-2=-1/5 (x+3)