Question

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

Answer 1

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`

Answer 2

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.