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?**

Puja Kumari
Asked
Dec 15, 2022

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Best Answer

A graph resulting from a change in the value of a parameter is known as a parametric shift.

Considering the equation of a straight line as

b= ma+*έ*

Where m= slope of straight line, m>0

*έ=* intercept on vertical axis,

Also, when a increases by 1unit,the value of b increases by m units. The parameters *έ* and m are parameters of a graph

The straight line spins higher around the same vertical intercept as the value of m grows. This movement is an example of a graph's parametric shift.

(i) As the slope of a straight line diminishes, it rotates downward around the same vertical intercept.

(ii) When the intercept of a straight line rises, it shifts upward in a parallel manner.

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