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

2 Answers
Nov 1, 2016

Answer:

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 #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#

Nov 1, 2016

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.