### All GRE Math Resources

## Example Questions

### Example Question #112 : Coordinate Geometry

What is the slope of the line whose equation is ?

**Possible Answers:**

**Correct answer:**

Solve for so that the equation resembles the form. This equation becomes . In this form, the is the slope, which is .

### Example Question #1 : How To Find The Equation Of A Curve

Which of the following equations has a -intercept of ?

**Possible Answers:**

**Correct answer:**

To find the -intercept, you need to find the value of the equation where . The easiest way to do this is to substitute in for your value of and see where you get for . If you do this for each of your equations proposed as potential answers, you find that is the answer.

Substitute in for :

### Example Question #301 : Geometry

If is a line that has a -intercept of and an -intercept of , which of the following is the equation of a line that is perpendicular to ?

**Possible Answers:**

**Correct answer:**

If has a -intercept of , then it must pass through the point .

If its -intercept is , then it must through the point .

The slope of this line is .

Therefore, any line perpendicular to this line must have a slope equal to the negative reciprocal, which is . Only has a slope of .