The equation represents a constant rate of change and k is the
constant of variation.
\Compare the equation with equation
.
The constant of variation is .
The slope m of a non vertical line through any two points is given by,
\ (Substitute
)
(Product of two same signs is positive)
(Apply additive indentity property:
)
(Apply additive indentity property:
)
(Divide:
)
Slope .
The slope m of the line that passes through the pair of points is .