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GED Math : GED Math

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All GED Math Resources

4 Diagnostic Tests 263 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #11 : Slope Intercept Form

Rewrite the given equation in slope-intercept form.

3x-3y =6

Possible Answers:

y=-x-3

y=2x-2

y=2x-1

y=x-2

y=x+2

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 #741 : Ged Math

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

Possible Answers:

y=-x-3

y=x+3

y=x-3

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

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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Example Question #21 : Linear Algebra

Write the equation in slope intercept form:

$\frac{x}{2}+\frac{y}{3} =4$

Possible Answers:

3x+2y =12

$y=-\frac{3}{2}x+12$

$y=-\frac{3}{2}x-12$

$y=\frac{3}{2}x+12$

2x+3y = 24

Correct answer:

$y=-\frac{3}{2}x+12$

Explanation:

To write the equation in slope intercept form, first recall the general form for slope intercept.

y=mx+b

where represents the slope and represents the y-intercept.

Given the equation in this question,

$\frac{x}{2}+\frac{y}{3} =4$

first subtract the $\frac{x}{2}$ .

$\frac{y}{3} =-\frac{x}{2}+4$

Now to isolate multiply both sides by three.

$3\cdot \frac{y}{3} =3\left( -\frac{x}{2}+4\right)$

Distribute the three to all parts within the parentheses.

$y=-\frac{3}{2}x+12$

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Example Question #21 : Linear Algebra

Rewrite the equation in slope-intercept form: 2x+5y=3

Possible Answers:

$y=-\frac{2}{5}x +\frac{3}{5}$

$y=\frac{2}{5}x +\frac{3}{5}$

$y=\frac{5}{2}x -\frac{5}{3}$

$y=-\frac{5}{2}x +\frac{5}{3}$

$y=\frac{2}{5}x -\frac{3}{5}$

Correct answer:

$y=-\frac{2}{5}x +\frac{3}{5}$

Explanation:

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

Subtract from both sides.

2x+5y-2x=3-2x

5y = -2x+3

Divide by five on both sides.

$\frac{5y}{5} = \frac{-2x+3}{5}$

Simplify both sides.

The answer is: $y=-\frac{2}{5}x +\frac{3}{5}$

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Example Question #191 : Algebra

Suppose the slope of a line is 5, and the x-intercept is 2. What must be the equation of the line in slope-intercept form?

Possible Answers:

y=5x-7

y=5x+10

y=5x+2

y=5x-2

y=5x-10

Correct answer:

y=5x-10

Explanation:

The slope intercept form is: y=mx+b

The x-intercept of 2 means the point given is: (2,0)

Substitute this point and the slope to determine the value of , or the y-intercept.

0=5(2)+b

0=10+b

b=-10

Substitute this value and the slope back into y=mx+b .

The answer is: y=5x-10

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Example Question #21 : Slope Intercept Form

Rewrite the following equation to slope-intercept format: 2x+9y = 31

Possible Answers:

$y= \frac{9}{2}x+31$

$y= -\frac{2}{9}x+\frac{31}{2}$

$y= -\frac{2}{9}x+31$

$y= -\frac{2}{9}x+\frac{31}{9}$

$y= -\frac{9}{2}x+31$

Correct answer:

$y= -\frac{2}{9}x+\frac{31}{9}$

Explanation:

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

Subtract from both sides.

2x+9y -2x= 31-2x

9y = -2x+31

Divide by 9 on both sides.

$\frac{9y }{9}= \frac{-2x+31}{9}$

The answer is: $y= -\frac{2}{9}x+\frac{31}{9}$

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Example Question #21 : Slope Intercept Form

Rewrite the following equation in slope-intercept form: 2x-9y = -1

Possible Answers:

$y=-\frac{1}{9}x +\frac{2}{9}$

$y=\frac{2}{9}x +\frac{1}{9}$

$y=-\frac{2}{9}x +\frac{1}{9}$

$y=\frac{2}{9}x -\frac{1}{9}$

$y=\frac{1}{9}x +\frac{2}{9}$

Correct answer:

$y=\frac{2}{9}x +\frac{1}{9}$

Explanation:

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

Subtract from both sides.

2x-9y -(2x)= -1-(2x)

Simplify both sides.

-9y= -2x-1

Divide by negative nine on both sides.

$\frac{-9y}{-9}= \frac{-2x-1}{-9}$

The equation is: $y=\frac{2}{9}x +\frac{1}{9}$

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Example Question #191 : Algebra

Rewrite the equation in slope-intercept form. 4x-2y =7

Possible Answers:

$y= 4x+\frac{7}{4}$

$y= 2x+\frac{7}{2}$

$y= 2x-\frac{7}{2}$

$y= 4x-\frac{7}{2}$

$y= 2x-\frac{7}{4}$

Correct answer:

$y= 2x-\frac{7}{2}$

Explanation:

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

Rearrange this equation. Subtract from both sides.

4x-2y -4x=7-4x

-2y = -4x+7

Divide by negative two on both sides.

$\frac{-2y }{-2}=\frac{ -4x+7}{-2}$

The answer is: $y= 2x-\frac{7}{2}$

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Example Question #193 : Algebra

Write the equation in slope-intercept form: 2x-9y =3y

Possible Answers:

$y= \frac{1}{6}x$

$y=- \frac{1}{6}x$

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

$\textup{The answer is not given.}$

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

Correct answer:

$y= \frac{1}{6}x$

Explanation:

The slope intercept form is: y=mx+b

Add on both sides.

2x-9y+9y =3y+9y

2x = 12y

Divide by 12 on both sides.

$\frac{2x }{12}= \frac{12y}{12}$

Reduce the fractions.

The answer is: $y= \frac{1}{6}x$

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All GED Math Resources

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GED Math : GED Math

Study concepts, example questions & explanations for GED Math

All GED Math Resources

Example Questions

Example Question #11 : Slope Intercept Form

Example Question #741 : Ged Math

Example Question #13 : Linear Algebra

Example Question #21 : Linear Algebra

Example Question #21 : Linear Algebra

Example Question #191 : Algebra

Example Question #21 : Slope Intercept Form

Example Question #21 : Slope Intercept Form

Example Question #191 : Algebra

Example Question #193 : Algebra

All GED Math Resources

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