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GED Math : GED Math

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

Example Questions

Example Question #12 : Finding Slope And Intercepts

Identify the y-intercept: -2x+2y = 3y

Possible Answers:

$\frac{2}{3}$

$\textup{No solution.}$

$\frac{3}{2}$

Correct answer:

Explanation:

In order to find the y-intercept, we will need to let x=0 and solve for .

-2(0)+2y = 3y

2y=3y

Subtract from both sides. Do NOT divide by on both sides.

2y-2y=3y-2y

y=0

The answer is:

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Example Question #13 : Finding Slope And Intercepts

What is the x-intercept of the following equation? y=-5x+3

Possible Answers:

$\frac{5}{3}$

$-\frac{5}{3}$

$\frac{3}{5}$

$-\frac{3}{5}$

Correct answer:

$\frac{3}{5}$

Explanation:

In order to find the x-intercept, we will need to let y=0 , and solve for .

0=-5x+3

Add on both sides.

0+5x=-5x+3+5x

5x=3

Divide by five on both sides.

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

The answer is: $\frac{3}{5}$

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Example Question #14 : Finding Slope And Intercepts

A line on the coordinate plane has as its equation 3x+ 8y = 28 .

Which of the following is its slope?

Possible Answers:

$-\frac{3}{8}$

$-\frac{8}{3}$

$\frac{8}{3}$

$\frac{3}{8}$

Correct answer:

$-\frac{3}{8}$

Explanation:

Rewrite the equation in the slope-intercept form y = mx+b , with the slope, as follows:

Subtract from both sides:

3x+ 8y = 28

3x+ 8y - 3x = 28 - 3x

8y = -3x + 28

Multiply both sides by $\frac{1}{8}$ , distributing on the right:

$\frac{1}{8} \cdot 8y =\frac{1}{8} \cdot \left ( -3x + 28 \right )$

$y =\frac{1}{8} \cdot ( -3x) +\frac{1}{8} \cdot 28$

$y =\frac{1}{8} \cdot \frac{ -3}{1}\cdot x +\frac{1}{8} \cdot \frac{28}{1}$

$y =- \frac{3}{8} x +\frac{28}{8}$

$y =- \frac{3}{8} x +\frac{7}{2}$

In the slope-intercept form, the coefficient of is the slope . This is $- \frac{3}{8}$ .

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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 #15 : Finding Slope And Intercepts

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 #11 : 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 #21 : Finding Slope And Intercepts

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

Possible Answers:

$\frac{1}{5}$

$-\frac{5}{3}$

$\frac{1}{3}$

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:

$\frac{7}{9}$

$\frac{7}{2}$

$-\frac{7}{2}$

$\frac{2}{9}$

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 #23 : Finding Slope And Intercepts

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

Possible Answers:

$\frac{2}{3}$

$-\frac{1}{3}$

$\frac{1}{3}$

$-\frac{2}{3}$

$-\frac{4}{3}$

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 #24 : 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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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 #12 : Finding Slope And Intercepts

Example Question #13 : Finding Slope And Intercepts

Example Question #14 : Finding Slope And Intercepts

Example Question #15 : Finding Slope And Intercepts

Example Question #15 : Finding Slope And Intercepts

Example Question #11 : Finding Slope And Intercepts

Example Question #21 : Finding Slope And Intercepts

Example Question #21 : Finding Slope And Intercepts

Example Question #23 : Finding Slope And Intercepts

Example Question #24 : Finding Slope And Intercepts

All GED Math Resources

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