GED Math : Coordinate Geometry

Study concepts, example questions & explanations for GED Math

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Example Questions

Example Question #1 : X Intercept And Y Intercept

Find the  and -intercepts for the following equation: 

Possible Answers:

Correct answer:

Explanation:

To find the , set  equal to 0:

Then solve:

Remember, the square root of  is both  and 

 

To find the, set  equal to 0:

Then solve:

Example Question #6 : X Intercept And Y Intercept

Given the following equation, what is the x-intercept?  

Possible Answers:

Correct answer:

Explanation:

The x-intercept is the value of  when .

Substitute the value into the equation and solve for .

Subtract 6 on both sides.

Divide by 3 on both sides.

The answer is:  

Example Question #1 : X Intercept And Y Intercept

What is the y-intercept of the following equation?  

Possible Answers:

Correct answer:

Explanation:

The y-intercept is the value of  when .

Substitute zero for x.

Subtract 1 on both sides.

Divide by 4 on both sides.

The answer is:  

Example Question #751 : Geometry And Graphs

What is the y-intercept of the following line:

Possible Answers:

Correct answer:

Explanation:

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

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

So, given the equation

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

Example Question #1 : X Intercept And Y Intercept

What is the y-intercept of the following equation?  

Possible Answers:

Correct answer:

Explanation:

The y-intercept is the value of  when .

Substitute  into the equation.

Divide by 2 on both sides.

The answer is:  

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:

Correct answer:

Explanation:

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

The points are:  

Write the formula for the slope.

The answer is:  

Example Question #751 : Geometry And Graphs

Determine the x-intercept of the following:  

Possible Answers:

Correct answer:

Explanation:

The x-intercept is the value of  when .

Substitute  into the given equation.

Add 6 on both sides.

Divide by 5 on both sides.

The answer is:  

Example Question #11 : X Intercept And Y Intercept

What is the x-intercept of the following equation?  

Possible Answers:

Correct answer:

Explanation:

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

Add one on both sides.

Divide by three on both sides.

The answer is:  

Example Question #11 : X Intercept And Y Intercept

What is the y-intercept given the following function?  

Possible Answers:

Correct answer:

Explanation:

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

The y-intercept is the variable .

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

The answer is:  

Example Question #762 : Geometry And Graphs

Find the x-intercept of the line with the equation .

Possible Answers:

Correct answer:

Explanation:

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

The coordinates of the x-intercept is located at .

 

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