Intermediate Geometry : Other Lines

Study concepts, example questions & explanations for Intermediate Geometry

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Example Questions

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Example Question #1 :How To Find Out If A Point Is On A Line With An Equation

一个line passes through both the origin and the point. Which of the following points are NOT on the line?

Possible Answers:

Correct answer:

Explanation:

Because the line passes through the origin, all of the points on the line will have anratio of. Onlydoes not meet this requirement.

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

Which of the following points does NOT lie on the graph of

Possible Answers:

Correct answer:

Explanation:

To find if a point lies on a graph or not, simply plug the x and y values into your equation and see if it holds true. Plugging our x values into the equationgives us the following:

and

So our points areand. This makesthe only point that does not lie on our graph.

Example Question #3 :How To Find Out If A Point Is On A Line With An Equation

存在以下几点的?

Possible Answers:

Correct answer:

Explanation:

Substitute each answer choice into the equation in question,, in order to test if the equation is valid at the given point

Onlywill satisfy the equation on both the left and right side.

Example Question #1 :How To Find Out If A Point Is On A Line With An Equation

Which of the following points exist on the line?

Possible Answers:

Correct answer:

Explanation:

The lineis a vertical line. This means that any point with an-value ofwill exist on the line.

The only possible point with an-value ofis.

Example Question #5 :How To Find Out If A Point Is On A Line With An Equation

Which point will exist on the line?

Possible Answers:

Correct answer:

Explanation:

The lineis a horizontal line with points all-values equal to.

The only possible answer with a-value ofis.

Example Question #1 :How To Find Out If A Point Is On A Line With An Equation

Which point is on the line?

Possible Answers:

Correct answer:

Explanation:

一个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 theandvalues

multiply

this is true, so that point is on the line

The point that does not work is:

multiply

subtract

因为这是不正确的,关键不是李ne.

Example Question #7 :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:

一个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 theandvalues

multiply

this is true, so that point is on the line

The point that does not work is:

multiply

subtract

因为这是不正确的,关键不是李ne.

Example Question #8 :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:

一个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 theandvalues

multiply

this is true, so that point is on the line

The point that does not work is:

multiply

subtract

因为这是不正确的,关键不是李ne.

Example Question #9 :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:

一个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 theandvalues

multiply

this is true, so that point is on the line

The point that does not work is:

multiply

subtract

因为这是不正确的,关键不是李ne.

Example Question #10 :How To Find Out If A Point Is On A Line With An Equation

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!

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