Is 0.3x+y=2 a linear function?

2 Answers
Alan P.
Nov 7, 2016

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

EZ as pi
Nov 7, 2016

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.

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