Question

What is the slope of the line?

Coordinate grid ranging from negative five to five on the x and y axes. A line passes through points (negative two, negative one) and (two, one).

Answer 1

slope m =
`(1)/(2)`

Explanation:

calculate the slope m using the slope formula

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

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

substitute these values into the formula for m

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