Intermediate Geometry : Coordinate Geometry

Study concepts, example questions & explanations for Intermediate Geometry

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Example Questions

Example Question #2 : How To Find Out If A Point Is On A Line With An Equation

Which point is NOT on the line ?

Possible Answers:

Correct answer:

Explanation:

A point is on a line if, plugged in, it creates a true mathematical equation.

For example,  is definitely on the line because when you plug it in, it creates a true equation:

 plug in the  and  values

 multiply

this is true, so that point is on the line

The point that does not work is :

 multiply

 subtract

Since this is not true, the point is NOT on the line.

Example Question #6 : Other Lines

The equation of a line is given below:

which point below can be found is NOT on the line?

Possible Answers:

Correct answer:

Explanation:

To find the solution to this problem just do a quick check, pluggin in each point's x and y value into the equation.  Remember coordinates are written with the x-value first, then the y-value (x,y).

If you try each point the only one that doesn't work is (8,2) !

In other words, if the x-value is 8 the y-value should be 4!

Example Question #1361 : Intermediate Geometry

Which of the following points is on the line 

Possible Answers:

None of these

Correct answer:

Explanation:

To ascertain if a point is on a line we must plug that coordinate pair into the equation of the line. If a true statement such as 5=5 is returned then we know that point is on our line. 

Choose the point you suspect is on the line.

Since the equation returned a true statement the point  is on our line.

Example Question #82 : Lines

Which of the following points is found on the line ?

Possible Answers:

Correct answer:

Explanation:

To find which point is on the line, take the -coordinate, and plug it into the given equation to solve for . If the -value matches the -coordinate of the same point, then the point is on the line.

Plugging in  into the given equation will give the following:

Thus,  is on the line.

Example Question #83 : Lines

Which of the following points is found on the line ?

Possible Answers:

Correct answer:

Explanation:

To find which point is on the line, take the -coordinate, and plug it into the given equation to solve for . If the -value matches the -coordinate of the same point, then the point is on the line.

Plugging in  into the given equation will give the following:

Thus,  is on the line.

Example Question #84 : Lines

Which of the following points is found on the line ?

Possible Answers:

Correct answer:

Explanation:

To find which point is on the line, take the -coordinate, and plug it into the given equation to solve for . If the -value matches the -coordinate of the same point, then the point is on the line.

Plugging in  into the given equation will give the following:

Thus,  is on the line.

Example Question #11 : Other Lines

Which of the following points is found on the line ?

Possible Answers:

Correct answer:

Explanation:

To find which point is on the line, take the -coordinate, and plug it into the given equation to solve for . If the -value matches the -coordinate of the same point, then the point is on the line.

Plugging in  into the given equation will give the following:

Thus,  is on the line.

Example Question #11 : Other Lines

Which of the following points is found on the line ?

Possible Answers:

Correct answer:

Explanation:

To find which point is on the line, take the -coordinate, and plug it into the given equation to solve for . If the -value matches the -coordinate of the same point, then the point is on the line.

Plugging in  into the given equation will give the following:

Thus,  is on the line.

Example Question #87 : Lines

Which of the following points is found on the line ?

Possible Answers:

Correct answer:

Explanation:

To find which point is on the line, take the -coordinate, and plug it into the given equation to solve for . If the -value matches the -coordinate of the same point, then the point is on the line.

Plugging in  into the given equation will give the following:

Thus,  is on the line.

Example Question #88 : Lines

Which of the following points is found on the line ?

Possible Answers:

Correct answer:

Explanation:

Start by rewriting the equation into slope-intercept form.

To find which point is on the line, take the -coordinate, and plug it into the given equation to solve for . If the -value matches the -coordinate of the same point, then the point is on the line.

Plugging in  into the given equation will give the following:

Thus,  is on the line.

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