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GED Math : Coordinate Geometry

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Example Questions

Example Question #4 : X Intercept And Y Intercept

Find the and -intercepts for the following equation:

$y = x^{2} - 9$

Possible Answers:

x-intercept: 3

y-intercept: -3

x-intercept: -3

y-intercept: -9

x-intercept: -9

y-intercept: +3. -3

x-intercept: +3, -3

y-intercept: -9

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 #1 : 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:

$-\frac{3}{4}$

$\frac{1}{4}$

$-\frac{1}{3}$

$-\frac{1}{4}$

$\frac{1}{3}$

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:

$\frac{2}{5}$

$\frac{3}{2}$

$\frac{5}{2}$

$\frac{5}{3}$

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:

$\frac{1}{8}$

$-\frac{1}{8}$

$\frac{1}{2}$

$-\frac{1}{2}$

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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Example Question #11 : X Intercept And Y Intercept

Determine the x-intercept of the following: y= 5x-6

Possible Answers:

$\frac{5}{6}$

$-\frac{5}{6}$

$\frac{6}{5}$

Correct answer:

$\frac{6}{5}$

Explanation:

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

Substitute y=0 into the given equation.

0=5x-6

Add 6 on both sides.

0+6=5x-6+6

6=5x

Divide by 5 on both sides.

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

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

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Example Question #11 : X Intercept And Y Intercept

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

Possible Answers:

$-\frac{1}{3}$

$\frac{1}{3}$

Correct answer:

$\frac{1}{3}$

Explanation:

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

0=3x-1

Add one on both sides.

0+1=3x-1+1

1=3x

Divide by three on both sides.

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

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

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Example Question #11 : X Intercept And Y Intercept

What is the y-intercept given the following function? $y= \frac{1}{100}x$

Possible Answers:

100

$\frac{1}{100}$

$\frac{99}{100}$

$\textup{The y-intercept does not exist.}$

Correct answer:

Explanation:

The following equation is already written in slope-intercept form.

y=mx+b

The y-intercept is the variable .

Since the value is absent, the y-intercept is zero.

The answer is:

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Example Question #41 : Coordinate Geometry

Find the x-intercept of the line with the equation 10x-3y=12 .

Possible Answers:

$(-\frac{3}{5}, 0)$

(2, 0)

$(\frac{6}{5}, 0)$

(5, 0)

Correct answer:

$(\frac{6}{5}, 0)$

Explanation:

Recall that at the x-intercept, the y-coordinate will be . Thus, plug in for in the given equation.

10x-3(0)=12

10x=12

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

The coordinates of the x-intercept is located at $(\frac{6}{5}, 0)$ .

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GED Math : Coordinate Geometry

Study concepts, example questions & explanations for GED Math

All GED Math Resources

Example Questions

Example Question #4 : 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 #1 : X Intercept And Y Intercept

Example Question #11 : X Intercept And Y Intercept

Example Question #11 : X Intercept And Y Intercept

Example Question #11 : X Intercept And Y Intercept

Example Question #41 : Coordinate Geometry

All GED Math Resources

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