Question

5. Use the slope formula to determine the slope of the line containing the two points (4,-8) and (-1, -2).

Answer 1

slope = -
`(6)/(5)`

Explanation:

calculate the slope m using the slope formula

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

with (x₁, y₁ ) = (4, - 8 ) and (x₂, y₂ ) = (- 1, - 2 )

m =
`(-2-(-8))/(-1-4)` =
`(-2+8)/(-5)` =
`(6)/(-5)` = -
`(6)/(5)`