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GED Math : Linear Algebra

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

Example Questions

Example Question #15 : Finding Slope And Intercepts

What is the slope of the following function? 6y = -3x+2

Possible Answers:

$-\frac{1}{2}$

$\frac{1}{3}$

$-\frac{1}{3}$

Correct answer:

$-\frac{1}{2}$

Explanation:

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

y=mx+b

Divide by six on both sides.

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

Simplify the right side.

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

The answer is: $-\frac{1}{2}$

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Example Question #251 : Algebra

Find the slope of the following equation:

y = -9x+3

Possible Answers:

Correct answer:

Explanation:

If we look at the following equation

y = -9x+3

we can see it is written in slope-intercept form. Slope-intercept form is

y=mx+b

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

So, given the equation,

y = -9x+3

we can see -9 is the slope.

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Example Question #13 : Finding Slope And Intercepts

Find the slope of the following equation: y=-8x+7

Possible Answers:

$-\frac{7}{8}$

$\frac{8}{7}$

Correct answer:

Explanation:

The given equation is already in slope-intercept form.

y=mx+b

The represents the coefficient of the slope.

The answer is:

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Example Question #91 : Linear Algebra

What is the slope of the line? x=5y-3

Possible Answers:

$-\frac{5}{3}$

$\frac{1}{3}$

$\frac{1}{5}$

Correct answer:

$\frac{1}{5}$

Explanation:

To determine the slope, rewrite this equation in slope-intercept form.

y=mx+b , where is the slope.

Add three on both sides.

x+3=5y-3+3

x+3=5y

Divide by 5 on both sides.

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

Simplify both sides.

$y= \frac{1}{5}x+\frac{3}{5}$

The answer is: $\frac{1}{5}$

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Example Question #21 : Finding Slope And Intercepts

Determine the slope of the following equation: 2x-9y=7

Possible Answers:

$\frac{2}{9}$

$-\frac{7}{2}$

$\frac{7}{9}$

$\frac{7}{2}$

Correct answer:

$\frac{2}{9}$

Explanation:

To determine the slope, first put the given equation in slope-intercept form.

y=mx+b

Subtract from both sides.

2x-9y-2x=7-2x

-9y = -2x+7

Divide both sides by negative nine.

$\frac{-9y }{-9}=\frac{ -2x+7}{-9}$

$y= \frac{2}{9}x-\frac{7}{9}$

The slope is , or $\frac{2}{9}$ .

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Example Question #22 : Finding Slope And Intercepts

Find the slope given the following equation: $-2y=\frac{2}{3}x+6$

Possible Answers:

$\frac{2}{3}$

$-\frac{4}{3}$

$-\frac{1}{3}$

$\frac{1}{3}$

$-\frac{2}{3}$

Correct answer:

$-\frac{1}{3}$

Explanation:

The given equation is not in slope-intercept form, y=mx+b .

Multiply both sides by negative half to isolate .

$-2y\cdot -\frac{1}{2}=-\frac{1}{2}(\frac{2}{3}x+6)$

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

The answer is: $-\frac{1}{3}$

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Example Question #23 : Finding Slope And Intercepts

What is the y-intercept of the following line:

9y = 18x + 27

Possible Answers:

Correct answer:

Explanation:

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

y=mx+b

where b is the y-intercept.

So, given the equation of 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 y-intercept of the equation is 3.

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Example Question #24 : 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 #22 : Finding Slope And Intercepts

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

Possible Answers:

$\textup{Cannot be determined.}$

$-\frac{1}{2}$

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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GED Math : Linear Algebra

Study concepts, example questions & explanations for GED Math

All GED Math Resources

Example Questions

Example Question #15 : Finding Slope And Intercepts

Example Question #251 : Algebra

Example Question #13 : Finding Slope And Intercepts

Example Question #91 : Linear Algebra

Example Question #21 : Finding Slope And Intercepts

Example Question #22 : Finding Slope And Intercepts

Example Question #23 : Finding Slope And Intercepts

Example Question #24 : Finding Slope And Intercepts

Example Question #21 : Finding Slope And Intercepts

Example Question #22 : Finding Slope And Intercepts

All GED Math Resources

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