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GED Math : Linear Algebra

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Example Questions

Example Question #11 : Linear Algebra

Which of the following equations is in slope-intercept form?

Possible Answers:

$y= \frac{1}{2x}+1$

2x+y=-3

x=y+4

$x=\frac{y}{2}$

y=-3x

Correct answer:

y=-3x

Explanation:

The slope-intercept form is defined as y=mx+b .

The equations in the answer choices are not in slope-intercept form.

The equation $y= \frac{1}{2x}+1$ is not linear.

The equation 2x+y=-3 is in standard form.

The answer is: y=-3x

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Example Question #11 : Slope Intercept Form

Rewrite the equation in slope-intercept form: y-3x=4x-7

Possible Answers:

7x-y=-7

y=7x+7

y=7x-7

y=-7x-7

-7x+y=-7

Correct answer:

y=7x-7

Explanation:

The slope-intercept form is: y=mx+b

Add on both sides.

y-3x+3x=4x-7+3x

Simplify both sides of the equation.

The answer is: y=7x-7

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Example Question #12 : Slope Intercept Form

Which of the following is in slope-intercept form?

Possible Answers:

$y=\frac{1}{7x}-99$

$y=\frac{1}{4}x-15$

x=15

x= 15y

-4x+15y = 32

Correct answer:

$y=\frac{1}{4}x-15$

Explanation:

The slope intercept form is: y=mx+b

The equation must be written in terms of .

The term cannot be in the denominator of a fraction, or it will not be linear.

The answer is: $y=\frac{1}{4}x-15$

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Example Question #11 : Slope Intercept Form

Rewrite the equation in slope intercept form: 3x = 3(y-2)

Possible Answers:

y=3x+6

y=3x+2

$y=3x+\frac{2}{3}$

y=x+2

$y=3x+\frac{2}{9}$

Correct answer:

y=x+2

Explanation:

The slope intercept form is: y=mx+b

Divide both sides by three.

$\frac{3x }{3}=\frac{ 3(y-2)}{3}$

x=y-2

Add 2 on both sides.

x+2=y-2+2

The answer is: y=x+2

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Example Question #11 : Linear Algebra

Write the equation in slope-intercept form: 2y = -6(x+3)

Possible Answers:

y= -3x+18

y= -3x-9

y=12x+6

y= -3x-18

$y=-3x+\frac{3}{2}$

Correct answer:

y= -3x-9

Explanation:

Distribute the right side.

2y = -6x-18

Divide both sides by two.

$\frac{2y}{2} =\frac{ -6x-18}{2}$

Simplify both sides.

The answer is: y= -3x-9

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Example Question #11 : Slope Intercept Form

Rewrite the equation in slope-intercept form: $\frac{1}{4} = y+x$

Possible Answers:

$y= -x-\frac{1}{4}$

$y= -x+\frac{1}{4}$

$y=\frac{1}{4}x-\frac{1}{4}$

$y=\frac{1}{4}x-1$

$y=\frac{1}{4}-x$

Correct answer:

$y= -x+\frac{1}{4}$

Explanation:

Slope-intercept must be in the form: y=mx+b

Subtract from both sides.

$\frac{1}{4} -x= y+x-x$

Rewrite the equation.

The answer is: $y= -x+\frac{1}{4}$

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Example Question #11 : Linear Algebra

Rewrite the following equation in slope intercept form: y-3 = 5(x-6)

Possible Answers:

y=5x+27

y=5x-27

$y=\frac{1}{5}x-33$

y=5x-3

y=5x-33

Correct answer:

y=5x-27

Explanation:

Distribute the five on the right side.

y-3 = 5x-30

Add three on both sides.

y-3 +3= 5x-30+3

The answer is: y=5x-27

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Example Question #11 : Linear Algebra

Rewrite the given equation in slope-intercept form.

3x-3y =6

Possible Answers:

y=2x-2

y=2x-1

y=x-2

y=x+2

y=-x-3

Correct answer:

y=x-2

Explanation:

The slope-intercept format is: y=mx+b

Add on both sides.

3x-3y+3y =6+3y

3x= 3y+6

Subtract 6 from both sides.

3x-6= 3y+6-6

3x-6= 3y

Divide by 3 on both sides.

$\frac{3x-6}{3}=\frac{ 3y}{3}$

The answer is: y=x-2

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Example Question #12 : Linear Algebra

Rewrite the given equation in slope-intercept form: y-x = -3

Possible Answers:

$\textup{The equation is not linear.}$

y=x-3

y=-x+3

y=-x-3

y=x+3

Correct answer:

y=x-3

Explanation:

The slope intercept form is: y=mx+b

To isolate the y-variable, simply add on both sides.

y-x+x = -3+x

The answer is: y=x-3

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Example Question #13 : Linear Algebra

Write the following equation in slope-intercept form: 2x+6y =-3

Possible Answers:

$y=-\frac{1}{2}x-\frac{3}{2}$

$y=-\frac{1}{3}x-\frac{1}{2}$

$y=-\frac{3}{2}x-\frac{1}{3}$

$y=-\frac{3}{2}x-\frac{2}{3}$

$y=-\frac{1}{2}x-\frac{1}{3}$

Correct answer:

$y=-\frac{1}{3}x-\frac{1}{2}$

Explanation:

The slope intercept form of a linear equation is: y=mx+b

Subtract from both sides.

2x+6y -2x=-3-2x

6y=-2x-3

Divide by 6 on both sides.

$\frac{6y}{6}=\frac{-2x-3}{6}$

Simplify the left and right terms.

The answer is: $y=-\frac{1}{3}x-\frac{1}{2}$

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GED Math : Linear Algebra

Study concepts, example questions & explanations for GED Math

All GED Math Resources

Example Questions

Example Question #11 : Linear Algebra

Example Question #11 : Slope Intercept Form

Example Question #12 : Slope Intercept Form

Example Question #11 : Slope Intercept Form

Example Question #11 : Linear Algebra

Example Question #11 : Slope Intercept Form

Example Question #11 : Linear Algebra

Example Question #11 : Linear Algebra

Example Question #12 : Linear Algebra

Example Question #13 : Linear Algebra

All GED Math Resources

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