# Intermediate Geometry : How to find out if a point is on a line with an equation

## Example Questions

### Example Question #11 : How To Find Out If A Point Is On A Line With An Equation

Which of the following points is on the line

None of these

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 #12 : How To Find Out If A Point Is On A Line With An Equation

Which of the following points is found on the line ?

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 #13 : How To Find Out If A Point Is On A Line With An Equation

Which of the following points is found on the line ?

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 #14 : How To Find Out If A Point Is On A Line With An Equation

Which of the following points is found on the line ?

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 #15 : How To Find Out If A Point Is On A Line With An Equation

Which of the following points is found on the line ?

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 #16 : How To Find Out If A Point Is On A Line With An Equation

Which of the following points is found on the line ?

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 #17 : How To Find Out If A Point Is On A Line With An Equation

Which of the following points is found on the line ?

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 #18 : How To Find Out If A Point Is On A Line With An Equation

Which of the following points is found on the line ?

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.

### Example Question #19 : How To Find Out If A Point Is On A Line With An Equation

Which of the following points is on the line ?

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.

### Example Question #20 : How To Find Out If A Point Is On A Line With An Equation

Which of the following points is found on the line ?