2006-11-07 13:42:19 · 17 answers · asked by lougoose 2 in Science & Mathematics ➔ Mathematics
You tell an equation is linear if there's a simple relationship between "x" and "y".
If you can say that "y is 2 lots of x, plus some constant number" or "y is half of x plus some constant number", that's a linear relationship.
Note that the constant number can be 0!
Written formally, that means y = ax + b, where "a" is the simple relationship and "b" is some constant number.
If you need to transform "x" in any other way, it's non-linear.
2006-11-07 13:49:07 · answer #1 · answered by Carinna C 2 · 1⤊ 0⤋
linear equation is one wherein any variable term is of degree a million a million. simplifies to 7y = 7 or y = a million, the potential of y is a million sure, that's linear 2. y + a million/x = 7 to sparkling the fraction, multiply by potential of x yx + a million = 7x the yx term is degree 2 (sum of their powers) no longer linear 3. 3/5x - 2/3y = 5 If the x and y are interior the denominators then that may not linear because to get them out of the denominators you may multiply by potential of xy--this might create a 5xy on the desirable side it somewhat is degree 2 returned. If the x and y are merely next to the fractions, then that's linear as each and each is of degree a million 4. y/3 = 3 simplifies to y = 9 linear (degree a million on y)
2016-12-28 15:43:15 · answer #2 · answered by ? 4 · 0⤊ 0⤋
A linear equation is an equation whose variables do not exceed the 1st power. In other words, there will not be any 'x' terms with exponents greater than 1. The constants can have exponents greater than 1 though.
2006-11-07 13:50:05 · answer #3 · answered by Darrick B 2 · 1⤊ 0⤋
Linear equation is any equation where the variable has an exponent of 1.
2006-11-07 13:45:54 · answer #4 · answered by Kai 4 · 0⤊ 0⤋
if its graph is a straight line
Typical equation would be of the y=mx+b format
It's when you get into functions like x^2 + 2x + 1 that you get curves and parabola and vertex etc, because your graph is curving and not a straight line or linear
2006-11-07 13:44:27 · answer #5 · answered by j h 2 · 0⤊ 0⤋
If the equation only has one independent variable check to see if it is homogeneous of degree one
Hey!!! why do I get a thumbs down for a right answer
2006-11-07 14:17:05 · answer #6 · answered by uncle frosty 4 · 0⤊ 1⤋
first degree equatios are linear equations
the general form is ax+by+c=0
or y=mx+b
or(x/a)+(y/b)=1
2006-11-07 13:49:47 · answer #7 · answered by raj 7 · 0⤊ 0⤋
The variable x has the 1sr power
2006-11-07 13:49:34 · answer #8 · answered by Anonymous · 0⤊ 0⤋
If it can be represented in the y=mx±b formula without any exponents involved...
2006-11-07 13:45:12 · answer #9 · answered by KnowhereMan 6 · 0⤊ 0⤋
Degrre of the equation should be one
2006-11-07 13:44:55 · answer #10 · answered by ssshhh 3 · 0⤊ 0⤋