Question

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?

Answer 1

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.