Question

Calculate the gradient of (a; b) and (-2a; -2b) where a≠0 and b≠0.

Answer 1

`(b)/(a)`

Explanation:

Calculate the slope m using the slope formula

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

with (x₁, y₁ ) = (a, b) and (x₂, y₂ ) = (- 2a, - 2b)

m =
`(-2b-b)/(-2a-a)` =
`(-3b)/(-3a)` =
`(b)/(a)`