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Flashcards: Algebra

Select the equation that best represents a linear function.

3y=9x^3-36

x^2-8=y+21

3y+12x=21

5x^2=25y+10

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Flashcards: Algebra

Select the equation that best represents a linear function.

Your answer:

3y=9x^3-36

Your answer:

x^2-8=y+21

Your answer:

5x^2=25y+10

Correct answer:

3y+12x=21

Explanation:

In order to determine if an equation defines a linear function, we want to make sure that the equation of the line is in slope-intercept form:

y=mx+b

If we are unable to put an equation in this form, then the equation is not linear.

Let's take a look at our answer choices:

3y=9x^3-36

Notice that in this equation our value is to the third power, which does not match our slope-intercept form.

x^2-8=y+21

Though this equation is not written in form, we can tell straight away that this does not define a linear function because the value is to the second power.

5x^2=25y+10

Again, though this equation is not written in form, we can tell straight away that this does not define a linear function because the value is to the second power.

3y+12x=21

For this equation, we can solve for to make sure this equation can be written is slope-intercept form. From first glance it looks to be correct because none of our variables are written to a power. In order to tell for certain, we need to isolate the y variable on the left side of the equation.

First, we can subtract 12x from both sides:

$\frac{\begin{array}[b]{r}3y+12x=21\\ -12x-12x\end{array}}{\\\\3y=-12x+21}$

Next, we can divide each side by $3\textup:$

$\frac{3y}{3}=\frac{-12x+21}{3}=-4x+7$

y=-4x+7

This equation is in slope-intercept form; thus, 3y+12x=21 is the correct answer.

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Flashcards: Algebra

Flashcards: Algebra

Flashcards: Algebra

Flashcards: Algebra

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K-8

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math tutoring

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elementary tutoring

other

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All 8th Grade Math Resources

Flashcards: Algebra

Flashcards: Algebra

Flashcards: Algebra

Flashcards: Algebra

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

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