Question

Find the gradient of the graph of 3x + 2y = 6

Answer 1

`2y = 6 - 3x \\ (2y)/(2) = (6)/(2) - (3x)/(2) \\ y = 3 - (3)/(2) x`

IN THE GENERAL EQUATION OF A STRAIGHT LINE Y=mx+c

THE GRADIENT WHICH IS m IS THE COEFFICIENT OF x

IN THIS CASE THE GRADIENT M IS

`= - (3)/(2)`

HOPE THIS HELPS