Question

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

Answer 1

Answer:

$\frac{b}{a}$

Step-by-step explanation:

Calculate the slope m using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

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

m = $\frac{-2b-b}{-2a-a}$ = $\frac{-3b}{-3a}$ = $\frac{b}{a}$