Question

Find the slope of the line in simplest form (-3, 1) (1, -4)

Answer 1

slope = -
`(5)/(4)`

Explanation:

calculate the slope m using the slope formula

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

with (x₁, y₁ ) = (- 3, 1 ) and (x₂, y₂ ) = (1, - 4 )

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