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Katena32 [7]
2 years ago
5

Quick algebra 1 question for 50 points!

Mathematics
2 answers:
BabaBlast [244]2 years ago
6 0

If y varies inversely with x then the line must be linear and increasing

And the y intercept must be 0 in y=mx+c

#1

  • y=4/3x-2

c=-2

  • Not direct

#2

  • y=x

Yes

#3

  • y=8/x

No

#4

  • y=14

Parallel to x axis no direct variation

saul85 [17]2 years ago
3 0

Answer:

b.  -x + y = 0

Step-by-step explanation:

<u />

<u>Direct variation</u>:

Direct variation means "y varies directly as x”:

y \propto x \implies y=kx

where k is the (non-zero) constant of variation.

To determine which of the given equations represents a direct variation, isolate y for each and compare with the <u>direct variation equation</u>.

<u>Equation a</u>

y=\dfrac{4}{3}x-2

This is not a direct variation equation as there is an addition of -2.

<u>Equation b</u>

-x+y=0

\implies y=x

This is a direct variation equation where the constant of variation is 1.

<u>Equation c</u>

xy=8

\implies y=\dfrac{8}{x}

This is not a direct variation equation as y is <u>inversely proportional</u> to x.

<u>Equation d</u>

y=14

This equation does not include the variable x, and so is therefore not a direct variation equation.

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