Is $y = x + 2$ $y = x +2$ a direct variation equation and if so what is the constant?

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Is $y = x + 2$ $y = x +2$ a direct variation equation and if so what is the constant?

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Answer 1 · 2016-03-27T00:58:07

$y = x + 2$ $y=x+2$ is not a direct variation.

Explanation:

Note that one possible solution for $y = x + 2$ $y=x+2$ is $(x, y) = (1, 3)$ $(x,y)=(1,3)$

If $y = x + 2$ $y=x+2$ were a direct variation then (for example) doubling the value of $x : 1 \to 2$ $x: 1rarr2$ would double the value of $y : 3 \to 6$ $y:3rarr6$
but if $x = 2$ $x=2$
then $y = x + 2 = 2 + 2 = 4 \neq 6$ $y=x+2=2+2=4 !=6$

Looking at it another way
if an equation (in $x$ $x$ and $y$ $y$ ) is a direct variation
then it can be arranged into the form
$XXX y = c \cdot x$ $color(white)("XXX")y=c*x$ for some constant $c$ $c$
This can not be done with the equation $y = x + 2$ $y=x+2$

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Is $y = x + 2$ $y = x +2$ a direct variation equation and if so what is the constant?

1 Answer

Explanation:

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Impact of this question

Science

Math

Humanities

... and beyond

Is y=x+2y = x +2 a direct variation equation and if so what is the constant?

1 Answer

Explanation:

Related questions

Impact of this question

Is $y = x + 2$ $y = x +2$ a direct variation equation and if so what is the constant?