Question

What is the slope of the line that passes through the points left bracket, 4, comma, minus, 6, right bracket(4,−6) and left bracket, minus, 2, comma, 3, right bracket(−2,3)?

Answer 1

slope m = -
`(3)/(2)`

Explanation:

calculate the slope m using the slope formula

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

let (x₁, y₁ ) = (4, - 6 ) and (x₂, y₂ ) = (- 2, 3 )

substitute these values into the formula for m

m =
`(3-(-6))/(-2-4)` =
`(3+6)/(-6)` =
`(9)/(-6)` = -
`(3)/(2)`