All GMAT Math Resources
Example Questions
Example Question #1 :Calculating X Or Y Intercept
What is the-intercept of the line?
To solve for the x-intercept, substitute 0 forand solve for:
The-intercept is.
Example Question #2 :Calculating X Or Y Intercept
What is the-intercept of the line?
年代ubstitute 0 forand solve for:
The-intercept is
Example Question #3 :Calculating X Or Y Intercept
What is the-intercept of a line that includes pointsand?
The slope of the line is
Use the point slope form to find the equation of the line.
Now substituteand solve for.
The-intercept is
Example Question #4 :Calculating X Or Y Intercept
Give the area of the region on the coordinate plane bounded by the-axis, the-axis, and the graph of the equation.
This can best be solved using a diagram and noting the intercepts of the line of the equation, which are calculated by substituting 0 forandseparately and solving for the other variable.
-intercept:
-intercept:
Now, we can make and examine the diagram below - the red line is the graph of the equation:
The pink triangle is the one whose area we want; it is a right triangle whose legs, which can serve as base and height, are of length. We can compute its area:
Example Question #5 :Calculating X Or Y Intercept
What is the-intercept of
To solve for the-intercept, you have to setto zero and solve for:
Example Question #6 :Calculating X Or Y Intercept
What is-intercept for
To solve for the-intercept, you have to setto zero and solve for:
Example Question #7 :Calculating X Or Y Intercept
A line with slopeincludes point. What is the-intercept of this line in terms of?
For some real number, the-intercept of the line will be some point. We can set up the slope equation and solve foras follows:
Example Question #8 :Calculating X Or Y Intercept
Give the-intercept(s) of the graph of the equation
The graph has no-intercept.
年代ubstitute 0 for:
The-intercept is
Example Question #9 :Calculating X Or Y Intercept
Give the-intercept(s) of the graph of the equation
年代et
Using the-method, we look to split the middle term of the quadratic expression into two terms. We are looking for two integers whose sum isand whose product is; these numbers are.
年代et each linear binomial to 0 and solve:
or
There are two-intercepts -
Example Question #10 :Calculating X Or Y Intercept
A line includesand. Give its-intercept.
The line has no-intercept.
The line has no-intercept.
The two points have the samecoordinate, which is 5; the line is therefore vertical. This makes the line parallel to the-axis, meaning that it does not intersect it. Therefore, the line has no-intercept.