All GRE Math Resources
Example Question #111 : Coordinate Geometry
What is the slope of the line whose equation is ?
Solve for so that the equation resembles the form. This equation becomes . In this form, the is the slope, which is .
Example Question #112 : Coordinate Geometry
Which of the following equations has a -intercept of ?
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 #113 : Coordinate 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 ?
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 .