when looking at an equation, how do you determine if it's linear? Everything I've found just shows how to solve them, but not how to differentiate if it is linear or not. For example, the problems I am working are:
Are the following equations linear?
1. 2x-y = 5
2. –x+5y=0
3. x = -1
4.y +x^2 = 5
2007-11-04 11:19:31 · 5 answers · asked by dustin_r_85 1 in Science & Mathematics ➔ Mathematics
All but 4. Equations with variables containing exponents besides 1 are not linear. Nor are they if their variables are multiplied, as in xy = 24, or divided, as in x/y = 1
2007-11-04 11:24:51 · answer #1 · answered by hayharbr 7 · 0⤊ 0⤋
1. Yes
2. Yes
3. Maybe?
4. No
The first two are linear because the variable x has an exponent of 1.
The fourth isn't, it's parabolic, because the variable has an even power greater than zero.
The third is a vertical line, I'm pretty sure that counts as non-linear because it has an undefined slope.
2007-11-04 19:26:23 · answer #2 · answered by aaron.brake 3 · 0⤊ 0⤋
Linear if x is to the power of 1
So x is fine but x^2 is not!
X can not be divided by another variable so (x/1+x) is not linear. Y should follow the same rules!
All are linear except number 4.
2007-11-04 19:24:05 · answer #3 · answered by TheFilmGod 1 · 0⤊ 0⤋
1,2 and 3 are linear (all variables of first degree)
4 is not as x is raised to exponent 2
2007-11-04 19:24:09 · answer #4 · answered by santmann2002 7 · 0⤊ 0⤋
the 4th one is not linear as it has a square term of x...
2007-11-04 19:25:28 · answer #5 · answered by cinash 2 · 0⤊ 0⤋