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

Nov 1, 2016

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

#### Explanation:

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

(Not $\frac{1}{x}$ nor $\frac{1}{y}$)

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:

$3 x + 5 y = 10$

$y = \frac{2}{3} x - 5$

$3 x - 4 y + 2 = 0$

$x = y$

$x = 8$

$y = - 3$

$3 x = 5 y$

Nov 1, 2016

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

Linear $\to$ straight line graph.