Question

What is the slope of (a²-b²)x + (a-b) y = 2 .

Answer 1

Slope of a line of the form y = mx + c is m.

Given line (a²-b) ²x + (a-b) y = 2 .

(a-b) y = - (a²-b²)x + 2

y = - (a²-b²)x + 2 / a-b

y = -(a+b)x + 2 / a-b.

Here, m = - (a+b)

$\therefore$ The slope is -(a+b)

Answer 2

if a line is of type ax + by = c
then its slope will be -a/b
in this case since eqn of line is
(a^2-b^2)X+(a-b)y=2
then
slope = -(a^2-b^2)/(a-b)
= -(a+b)