is this statement always, sometimes, or never true:
If an equation is linear, then either the x or the y variable has an exponent that is greater then one.
Can you please explain this to me? Examples?
Thanks in advance!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
2006-09-25 16:46:56 · 5 answers · asked by Jen 2 in Education & Reference ➔ Homework Help
It is never true. we can see this from the general form of linear equation which is Ax + By + C = 0. neither x nor y has exponent greater than one.
2006-09-25 16:58:10 · answer #1 · answered by sejigsemahu 2 · 0⤊ 0⤋
Never.
Exponentiation is a mathematical operation, written a^n (n is supposed to be superscript), involving two numbers, the base a and the exponent n.
A linear equation is of the form y = mx +b. So when you plot the graph, You can easily find your slope (m) and your y-axis intercept (b).
But if you have an exponent or power factor then the line quickly curves in an "exponential" fashion.
for example let's say y = x^2. and plot a few numbers
X Y
0 0
1 1
2 4
3 9
4 16
5 25
You see fairly quickly that the line begins curving vary fast. A linear equation can ONLY make a straight (linear) line.
2006-09-25 23:56:56 · answer #2 · answered by captn_carrot 5 · 0⤊ 0⤋
It is never true. In a linear equation, both exponents are always equal to exactly one.
PS It's greater THAN, not greater THEN.
2006-09-25 23:57:11 · answer #3 · answered by metatron 4 · 0⤊ 0⤋
I think it's sometimes.
I guess because the x and y variable can be any number- you need to solve it to find out what it is. I took algebra last quarter, sorry if that's not right!
2006-09-25 23:54:59 · answer #4 · answered by Anonymous · 0⤊ 0⤋
neverrrrrrr.... if it has an exponent it goes up at a faster and faster rate... linear the slope(rate of increase) is constant
2006-09-26 00:12:34 · answer #5 · answered by ashley 3 · 0⤊ 0⤋