Is #0.3x+y=2# a linear function?

2 Answers
Nov 7, 2016

Answer:

Yes; any relation that can be expressed in the form
#color(white)("XXX")y=color(red)(m)x+color(blue)b#
can be considered to be a linear function.

Explanation:

#0.3x+y=2#
#color(white)("XXX")hArr y=color(red)(""(-0.3))x+color(blue)2#

Nov 7, 2016

Answer:

This equation meets all the criteria and is the equation of a straight line.

Explanation:

The word 'linear' means 'in a straight line'

The equation of a straight line has the general form

#ax + by +c =0" "larr# an x-term, a y-term and a number term

  • the variables do not have powers more than 1,
  • variables do not occur in the denominator of a fraction.
  • different variables do not appear in the same term

#0.3x+y = 2# has an x-term, a y-term and a number term.

It can be written as:

#0.3x+y -2 = 0" "larr# this is the general form of a straight line.

#y = -0.3x+2" larr# this is the form #y = mx+c#

#0.3x+y = 2" "larr# this is in standard form of a straight line.

This equation meets all the criteria and is the equation of a straight line.