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GED Math : X-intercept and y-intercept

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Example Question #1 : X Intercept And Y Intercept

Which of the following equations has as its graph a line with -intercept 9?

Possible Answers:

x = 9 y + 81

9x = y + 81

x+ 9 y = 81

9x+ y = 81

Correct answer:

x+ 9 y = 81

Explanation:

The equation in which y = 9 when x=0 is graphed by a line that includes point (0,9) - that is, its -intercept is 9. Therefore, substitute 0 for in each equation and solve for .

x = 9 y + 81

0 = 9 y + 81

9y = -81

y = -9

9x = y + 81

$9 \cdot 0 = y + 81$

0 = y + 81

y = -81

9x+ y = 81

$9 \cdot 0 + y = 81$

0 + y = 81

y = 81

x+ 9 y = 81

0+ 9 y = 81

9 y = 81

y = 9

The correct choice is x+ 9 y = 81 , since (0,9) is a solution of this equation.

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Example Question #1 : X Intercept And Y Intercept

Which of the following equations has as its graph a line with -intercept ?

Possible Answers:

x + 9y = 81

y = 9x + 81

9y = x + 81

9x+ y = 81

Correct answer:

y = 9x + 81

Explanation:

The equation in which x = - 9 when y=0 is graphed by a line that includes point (-9,0) - that is, its -intercept is . Therefore, substitute 0 for in each equation and solve for .

9y = x + 81

$9 \cdot 0 = x + 81$

0 = x + 81

x = -81

9x+ y = 81

9x+ 0 = 81

9x = 81

x = 9

x + 9y = 81

$x + 9 \cdot 0 = 81$

x + 0 = 81

x = 81

y = 9x + 81

0= 9x + 81

-81 = 9x

x = -9

The correct choice is y = 9x + 81 , since (-9,0) is a solution of this equation.

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Example Question #1 : X Intercept And Y Intercept

Find the and -intercepts of the following equation:

y = 3x + 6

Possible Answers:

x-intercept: -2

y-intercept: -6

x-intercept: 2

y-intercept: -6

x-intercept: -6

y-intercept: 2

x-intercept: -2

y-intercept: 6

x-intercept: 6

y-intercept: -2

Correct answer:

x-intercept: -2

y-intercept: 6

Explanation:

To find the x-intercept , we need to set equal to 0 in our equation:

0 = 3x + 6

Now solve for :

-6 = 3x

-2 = x

To find the y-intercept , we need to set equal to 0 in our equation:

y = 3(0) + 6

Now solve for :

y = 0 + 6

y = 6

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Example Question #1 : X Intercept And Y Intercept

Find the and -intercepts for the following equation:

4x - 6y = 12

Possible Answers:

x-intercept: -3

y-intercept: 2

x-intercept: -2

y-intercept: -3

x-intercept: -2

y-intercept: 3

x-intercept: 3

y-intercept: -2

x-intercept: 3

y-intercept: 2

Correct answer:

x-intercept: 3

y-intercept: -2

Explanation:

To find the x-intercept , set the equal to 0:

4x - 6(0) = 12

Then solve for :

4x = 12

x = 3

To find the y-intercept , set the equal to 0:

4(0) - 6y = 12

Then solve for :

-6y = 12

y = -2

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Example Question #1 : X Intercept And Y Intercept

Find the and -intercepts for the following equation:

$y = x^{2} - 9$

Possible Answers:

x-intercept: 3

y-intercept: 9

x-intercept: +3, -3

y-intercept: -9

x-intercept: 3

y-intercept: -3

x-intercept: -9

y-intercept: +3. -3

x-intercept: -3

y-intercept: -9

Correct answer:

x-intercept: +3, -3

y-intercept: -9

Explanation:

To find the x-intercept , set equal to 0:

$0 = x^{2} - 9$

Then solve:

$9 = x^{2}$

$\sqrt{9} = \sqrt{x^{2}}$

Remember, the square root of is both and

To find the y-intercept , set equal to 0:

$y = 0^{2} - 9$

Then solve:

y = -9

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Example Question #6 : X Intercept And Y Intercept

Given the following equation, what is the x-intercept? 2y = 3x+6

Possible Answers:

$\frac{1}{2}$

$-\frac{1}{2}$

Correct answer:

Explanation:

The x-intercept is the value of when y=0 .

Substitute the value into the equation and solve for .

2(0) = 3x+6

0= 3x+6

Subtract 6 on both sides.

0-6= 3x+6-6

-6= 3x

Divide by 3 on both sides.

$\frac{-6}{3}= \frac{3x}{3}$

The answer is:

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Example Question #1 : X Intercept And Y Intercept

What is the y-intercept of the following equation? 4y+1 = 3x+2

Possible Answers:

$-\frac{3}{4}$

$-\frac{1}{4}$

$\frac{1}{4}$

$-\frac{1}{3}$

$\frac{1}{3}$

Correct answer:

$\frac{1}{4}$

Explanation:

The y-intercept is the value of when x=0 .

Substitute zero for x.

4y+1 = 3(0)+2

4y+1 = 2

Subtract 1 on both sides.

4y+1 -1= 2-1

4y =1

Divide by 4 on both sides.

$\frac{4y }{4}=\frac{1}{4}$

The answer is: $\frac{1}{4}$

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Example Question #1 : X Intercept And Y Intercept

What is the y-intercept of the following line:

y=9x-11

Possible Answers:

Correct answer:

Explanation:

To find the y-intercept, we will look at the slope-intercept form of a line:

y=mx+b

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

So, given the equation

y=9x-11

we can see the y-intercept is -11. Note that we must include the negative sign.

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Example Question #1 : X Intercept And Y Intercept

What is the y-intercept of the following equation? 2y = 3x+5

Possible Answers:

$\frac{3}{2}$

$\frac{5}{2}$

$\frac{2}{5}$

$\frac{5}{3}$

Correct answer:

$\frac{5}{2}$

Explanation:

The y-intercept is the value of when x=0 .

Substitute x=0 into the equation.

2y = 3(0)+5

2y=5

Divide by 2 on both sides.

$\frac{2y}{2}=\frac{5}{2}$

The answer is: $\frac{5}{2}$

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Example Question #1 : X Intercept And Y Intercept

If the x-intercept is 4, and the y-intercept is 2, what must be the slope?

Possible Answers:

$-\frac{1}{8}$

$\frac{1}{2}$

$-\frac{1}{2}$

$\frac{1}{8}$

Correct answer:

$-\frac{1}{2}$

Explanation:

We can obtain two known points from using the intercepts. The y-intercept is when x=0 , and x-intercept is when y=0 .

The points are: (0,2), (4,0)

Write the formula for the slope.

$m= \frac{y_2-y_1}{x_2-x_1} = \frac{0-2}{4-0} = -\frac{2}{4}$

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

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All GED Math Resources

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GED Math : X-intercept and y-intercept

Study concepts, example questions & explanations for GED Math

All GED Math Resources

Example Questions

Example Question #1 : X Intercept And Y Intercept

Example Question #1 : X Intercept And Y Intercept

Example Question #1 : X Intercept And Y Intercept

Example Question #1 : X Intercept And Y Intercept

Example Question #1 : X Intercept And Y Intercept

Example Question #6 : X Intercept And Y Intercept

Example Question #1 : X Intercept And Y Intercept

Example Question #1 : X Intercept And Y Intercept

Example Question #1 : X Intercept And Y Intercept

Example Question #1 : X Intercept And Y Intercept

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