Question

Determine the slope of the line that passes through each pair of points. (-2,1) and (0,-2)

Answer 1

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

Explanation:

Calculate the slope m using the slope formula

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

with (x₁, y₁ ) = (- 2, 1) and (x₂, y₂ ) = (0, - 2)

m =
`(-2-1)/(0+2)` =
`(-3)/(2)` = -
`(3)/(2)`