Question

When a graph of one quantity versus another results in a straight line,
the quantities are [ ]
a) Both constant b) Equal
c) Directly proportional d) Inversely proportional

Answer 1

Answer:

c) Directly proportional

When a graph of one quantity versus another results in a straight line the quantities are then they are directly proportional to each other.

Answer 2

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

To Find : the quantities are  

a) Both constant

b) Equal

c) Directly proportional

d) Inversely proportional

Solution:

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

Straight line

y = mx + c

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

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

If both Quantities are equal  then they will form a line

y = x      where m = 1 , c = 0

constant of proportionality = 1

and Quantiles are directly proportional

c) Directly proportional

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

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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