1
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?
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?
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Solution
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 εand
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.
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 εand 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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