How do you determine whether each equation is a linear equation: $y=2-3x$ ?

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Answer 1 · 2016-11-01T19:52:32

A linear equation has "an x-term, a y-term and a number term"

A linear equation has "an x-term, a y-term and a number term"

(Not $1/x$ nor $1/y$ )

Any one of these terms can be equal to 0, so as long as at least 2 of the 3 terms are present in an equation, it represents a straight line.

All of the following are equations of straight lines:

$3x+5y = 10$

$y = 2/3x-5$

$3x -4y +2 =0$

$x=y$

$x = 8$

$y = -3$

$3x = 5y$

Answer 2 · 2016-11-01T20:19:17

Basically, if you can manipulate it to give the generic form of:
$y=mx+c$ where $m$ and $c$ are constants then it is a linear equation.

Linear $->$ straight line graph.

How do you determine whether each equation is a linear equation: y=2-3xy=2-3x?