All GRE Math Resources
Example Questions
Example Question #1 : How To Find The Equation Of A Curve
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 #2 : How To Find The Equation Of A Curve
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 #3 : How To Find The Equation Of A Curve
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
.
All GRE Math Resources
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