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GED Math : GED Math

Study concepts, example questions & explanations for 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 #22 : Finding Slope And Intercepts

Find the slope of the following line:

9y = 18x + 27

Possible Answers:

Correct answer:

Explanation:

To find the slope of the line, we will write the equation in slope-intercept form:

y=mx+b

where m is the slope of the line.

So, given the line

9y = 18x + 27

we will solve for y. We get

$\frac{9y}{9} = \frac{18x}{9} + \frac{27}{9}$

y = 2x+3

Therefore, the slope of the line is 2.

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Example Question #21 : Finding Slope And Intercepts

Determine the slope of the following equation: x+y-6 =0

Possible Answers:

$\frac{1}{6}$

$-\frac{1}{6}$

Correct answer:

Explanation:

To identify the slope, we will need the equation in slope-intercept form.

y=mx+b

Add 6 on both sides.

x+y-6 +6=0+6

x+y=6

Subtract on both sides.

x+y-x=6-x

The equation becomes: y=-x+6

The slope is the coefficient of , which is .

The answer is:

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Example Question #821 : Ged Math

What is the slope given a point (1,2) and a y-intercept of 5?

Possible Answers:

$-\frac{1}{2}$

$\textup{Cannot be determined.}$

Correct answer:

Explanation:

The y-intercept is the value at x=0 , which means another given point is (0,5) .

Write the formula to find the slope.

$m =\frac{y_2-y_1}{x_2-x_1}$

Substitute the points.

$m =\frac{2-5}{1-0} = \frac{-3}{1} = -3$

The answer is:

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Example Question #261 : Algebra

What is the slope of the following equation? y= -8x-19

Possible Answers:

$\frac{19}{8}$

$\frac{8}{19}$

Correct answer:

Explanation:

The equation is already given in slope-intercept form:

y=mx+b

The is the slope, and the represents the y-intercept.

The answer is:

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Example Question #822 : Ged Math

What is the slope of the line that passes through the points (4, 5) and (12, 4) ?

Possible Answers:

$-\frac{1}{8}$

$\frac{1}{8}$

$\frac{7}{8}$

Correct answer:

$-\frac{1}{8}$

Explanation:

Recall how to find the slope of a line:

$\text{Slope}=\frac{y_2-y_1}{x_2-x_1}$

Plug in the coordinates from the given points to find the slope.

$\text{Slope}=\frac{4-5}{12-4}=-\frac{1}{8}$

The slope of the line is $-\frac{1}{8}$ .

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Example Question #21 : Finding Slope And Intercepts

Find the slope of the following equation: 2x-6y = 7x

Possible Answers:

$-\frac{5}{6}$

$\frac{7}{4}$

$-\frac{7}{12}$

$\frac{6}{5}$

$-\frac{1}{2}$

Correct answer:

$-\frac{5}{6}$

Explanation:

Subtract from both sides.

2x-6y-2x = 7x-2x

-6y = 5x

Divide by negative 6 on both sides.

$\frac{-6y}{-6} =\frac{ 5x}{-6}$

$y=-\frac{5}{6}x$

The answer is: $-\frac{5}{6}$

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Example Question #31 : Finding Slope And Intercepts

Find the slope of the following line:

8y=72x+16

Possible Answers:

Correct answer:

Explanation:

To find the slope, we will write the equation in slope-intercept form:

y=mx+b

where m is the slope and b is the y-intercept.

So, given the equation

8y=72x+16

we will solve for y. We get

$\frac{8y}{8} = \frac{72x}{8} + \frac{16}{8}$

y = 9x+2

Now, if we compare this equation to the slope-intercept form above, we can see that 9 is the slope.

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Example Question #31 : Finding Slope And Intercepts

Find the y-intercept of the following equation:

8y=72x+16

Possible Answers:

Correct answer:

Explanation:

To find the y-intercept, we will write the equation in slope-intercept form:

y=mx+b

where m is the slope and b is the y-intercept.

So, given the equation

8y=72x+16

we will solve for y. We get

$\frac{8y}{8} = \frac{72x}{8} + \frac{16}{8}$

y = 9x+2

So, if we compare this equation to the formula above, we can see that the y-intercept is 2.

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Example Question #821 : Ged Math

What is the y-intercept to the equation y= -3x+9 ?

Possible Answers:

$-\frac{1}{3}$

Correct answer:

Explanation:

The equation is already given in slope-intercept format.

y=mx+b

The y-intercept is denoted by the letter .

The answer is:

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Example Question #101 : Linear Algebra

What is the slope of the following equation? 2y= 2(-2x-3)

Possible Answers:

$-\frac{1}{2}$

$\frac{1}{2}$

Correct answer:

Explanation:

Rewrite the equation in slope-intercept format:

y=mx+b

Divide both sides by two.

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

y= -2x-3

The slope is .

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All GED Math Resources

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

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GED Math : GED Math

Study concepts, example questions & explanations for GED Math

All GED Math Resources

Example Questions

Example Question #22 : Finding Slope And Intercepts

Example Question #21 : Finding Slope And Intercepts

Example Question #821 : Ged Math

Example Question #261 : Algebra

Example Question #822 : Ged Math

Example Question #21 : Finding Slope And Intercepts

Example Question #31 : Finding Slope And Intercepts

Example Question #31 : Finding Slope And Intercepts

Example Question #821 : Ged Math

Example Question #101 : Linear Algebra

All GED Math Resources

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