What do you understand by ‘parametric shift of a line’? How does a line shift when its (i) slope decreases, and (ii) its intercept increases?

Considering the equation of a straight line as

*b* =
*ma* + *ε*

Where *m*
= slope of straight line, *m* > 0

ε =
intercept on vertical axis, *ε*> 0

Also, when
*a* increases by 1 unit, the value of *b* increases by *m*
units.

The
parameters *ε*and
*m* are parameters of a graph.

As the
value of *m* increases, the straight line rotates upward around
the same vertical intercept. This movement is an example of
parametric shift of the graph.

(i) A straight line rotates downward around the same vertical intercept as its slope decreases.

(ii) A straight line shifts parallelly upward when its intercept increases.

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