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Quick algebra 1 question for 50 points!

Only answer if you know the answer, quick shout-out to Dinofish32, tysm for the help!

Quick algebra 1 question for 50 points! Only answer if you know the answer, quick-example-1
User Aylon
by
8.7k points

2 Answers

3 votes

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

User Manuel Ragazzini
by
8.3k points
5 votes

Answer:

b. -x + y = 0

Explanation:

Direct variation:

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 direct variation equation.

Equation a


y=(4)/(3)x-2

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

Equation b


-x+y=0


\implies y=x

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

Equation c


xy=8


\implies y=(8)/(x)

This is not a direct variation equation as y is inversely proportional to x.

Equation d


y=14

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

User Omar Martinez
by
8.1k points
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