Question

When the graph of one quantity vs the other results in a straight line, the 2 quantities are:
a) Independent
b) Constant
c) Directly Proportional
d) Inversely Proportional

Answer 1

Directly proportional.

For independent------the line is not definite

constant----line will be parallel to one of the axis

inversely proportional----line will be hyperbolic

Got it????

Answer 2

Given : A graph of one quantity versus another results in a straight line,

To Find : the quantities are  

a) Independent

b) Constant

c) Directly proportional

d) Inversely proportional

Solution:

A graph of one quantity versus another results in a straight line

Hence Quantities are related to each other

and one quantity is dependent on other

Hence not indene dent

if Quantities are constant then They  will represent just a point ( not a line)

Straight line

y = mx + c

for a given  change in x ,   change in y is  m time of that

c) Directly proportional

y = mx      if  line pa sses through origin then Quantities are directly proportional   c = 0

m is constant of proportionality

d) Inversely proportional

Graph can not be linear

Hence Quantities will be directly proportional if graph of one quantity versus another results in a straight line ( But line must pa ss through origin also )

Correct option is c)       but with a condition that line pa sses through origin as well )

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