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GED Math : Linear Algebra

Study concepts, example questions & explanations for GED Math

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

Example Questions

Example Question #822 : Ged Math

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 #25 : Finding Slope And Intercepts

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

Possible Answers:

$\frac{1}{8}$

$\frac{7}{8}$

$-\frac{1}{8}$

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 #23 : Finding Slope And Intercepts

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

Possible Answers:

$-\frac{1}{2}$

$-\frac{5}{6}$

$-\frac{7}{12}$

$\frac{7}{4}$

$\frac{6}{5}$

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 #32 : 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 #31 : Finding Slope And Intercepts

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 #32 : Finding Slope And Intercepts

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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Example Question #32 : Finding Slope And Intercepts

Find the slope given the following equation: y = 50x-63

Possible Answers:

$-\frac{63}{50}$

Correct answer:

Explanation:

The slope is the value of in the slope-intercept equation: y=mx+b

The equation is already given in slope-intercept format.

This means that the slope is:

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Example Question #831 : Ged Math

Find the slope of the following equation: 2x-9x+3=2y

Possible Answers:

$\frac{7}{6}$

$-\frac{7}{2}$

$-\frac{3}{2}$

Correct answer:

$-\frac{7}{2}$

Explanation:

Combine like terms of the left.

-7x+3=2y

Divide by 2 on both sides.

$\frac{-7x+3}{2}=\frac{2y}{2}$

$y= -\frac{7}{2}x + \frac{3}{2}$

Now that the equation is in slope-intercept form y=mx+b , we can identify the coefficient in front of the x-variable.

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

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Example Question #32 : Finding Slope And Intercepts

Find the slope of the line which passes through the following points:

(4,5) (97,104)

Possible Answers:

$\frac{31}{33}$

$\frac{-33}{31}$

$\frac{33}{93}$

$\frac{33}{31}$

Correct answer:

$\frac{33}{31}$

Explanation:

Find the slope of the line which passes through the following points:

(4,5) (97,104)

To find the slope of a line, use the following formula

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

Note that it doesn't matter which point is "1" and which point is "2," so long as we are consistent.

Let's make our points

Point 1:

(97,104)

Point 2:

(4,5)

Now, recall that points are an x and a y value as follows: (x,y)

$m=\frac{104-5}{97-4}=\frac{99}{93}=\frac{33}{31}$

So, our slope is

$\frac{33}{31}$

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GED Math : Linear Algebra

Study concepts, example questions & explanations for GED Math

All GED Math Resources

Example Questions

Example Question #822 : Ged Math

Example Question #25 : Finding Slope And Intercepts

Example Question #23 : Finding Slope And Intercepts

Example Question #31 : Finding Slope And Intercepts

Example Question #32 : Finding Slope And Intercepts

Example Question #31 : Finding Slope And Intercepts

Example Question #32 : Finding Slope And Intercepts

Example Question #32 : Finding Slope And Intercepts

Example Question #831 : Ged Math

Example Question #32 : Finding Slope And Intercepts

All GED Math Resources

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