# GMAT Math : Calculating whether point is on a line with an equation

## Example Questions

### Example Question #1 : Calculating Whether Point Is On A Line With An Equation

Solve for  in the coordinate  on line ?

Explanation:

To solve for  for , we have to plug  into the  variable of the equation and solve for :

### Example Question #2 : Calculating Whether Point Is On A Line With An Equation

Solve for  in the coordinate  on line ?

Explanation:

To solve for  for , we have to plug 1 into the  variable of the equation and solve for :

### Example Question #3 : Calculating Whether Point Is On A Line With An Equation

Solve for  in the coordinate   on line ?

Explanation:

To solve for  for , we have to plug  into the  variable of the equation and solve for :

### Example Question #4 : Calculating Whether Point Is On A Line With An Equation

Consider segment  which passes through the points  and .

If the point  is on , what is the value of y?

Explanation:

First, use the points to find the equation of JK:

Given that JK passes through (4,5) and (144,75) we can find the slope as follows:

Slope is found via:

Plug in and calculate:

Next, we need to use one of our points and the slope to find our y-intercept. I'll use (4,5).

To find y, we need to plug in 16 for x and solve:

### Example Question #5 : Calculating Whether Point Is On A Line With An Equation

If  is defined as follows, is the point on ?

Cannot be calculated from the provided information

No

f(x) is undefined at (-2,5)

Yes

Yes

Explanation:

To find out if (-2,5) is on f(x), simply plug the point into f(x)

Becomes,

So yes, it does!

### Example Question #6 : Calculating Whether Point Is On A Line With An Equation

Which of the following are points along  if

.