All Intermediate Geometry Resources
Example Questions
Example Question #1 :How To Find X Or Y Intercept
Given the linewhat is the sum of theandintercepts?
The intercepts cross an axis.
For theintercept, setto get
For theintercept, setto get
So the sum of the intercepts is.
Example Question #1 :How To Find X Or Y Intercept
What are theand-intercepts of the line defined by the equation:
To find the intercepts of a line, we must set theandvalues equal to zero and then solve.
Example Question #2 :X And Y Intercept
What is the-intercept of the following line:
The-intercept is the point where the y-value is equal to 0. Therefore,
Example Question #3 :X And Y Intercept
Which of the following statements regarding the x and y intercepts of the equationis true?
The y-intercept is greater than the x-intercept.
The x and y intercepts are equal.
The graph does not cross the y-axis.
The x-intercept is greater than the y-intercept.
The graph does not cross the x-axis.
The y-intercept is greater than the x-intercept.
To find the x-intercept, we simply pluginto our function. giving us. We can factor that equation, making it. We can not solve for, and we get. To find the y-intercept, we do the same thing, however this time, we plug ininstead. This leaves us with. With an x-intercept ofand a y-intercept of, it is clear that the y-intercept is greater than the x-intercept.
Example Question #4 :X And Y Intercept
Find the-intercept of the following function.
DNE
To find the x-intercept, set y equal to 0.
Now solve for x by dividing by 3 on both sides.
This reduces to,
Example Question #5 :X And Y Intercept
Find the-intercept of the following function.
To find the y-intercept, set x equal to 0.
Now solve for y.
Example Question #6 :X And Y Intercept
Which is the x-intercept for the line?
The x-intercept of a line is the x-value where the line hits the x-axis. This occurs when y is 0. To determine the x-value, plug in 0 for y in the original equation, then solve for x:
add 5 to both sides
divide by 2
Example Question #7 :X And Y Intercept
Find the x-intercept(s) for the circle
The circle never intersects the x-axis
The x-intercepts of any curve are the x-values where the curve is intersecting the x-axis. This happens when y = 0. To figure out these x-values, plug in 0 for y in the original equation and solve for x:
adding 0 or 0 square doesn't change the value
take the square root of both sides
this means there are two different potential values for x, and we will have to solve for both. First:
add 4 to both sides
Second:again, add 4 to both sides
Our two answers areand.
Example Question #1 :X And Y Intercept
Give the coordinate pair(s) whereintersects with the y-axis.
and
The graph does not intersect with the y-axis.
and
To find where the graph hits the y-axis, plug in 0 for x:
first evaluate 0 - 2
then square -2
add 4 to both sides
take the square root of both sides
now we have 2 potential solutions and need to solve for both
a)
b)
Example Question #9 :X And Y Intercept
Which is neither an x- or y-intercept for the parabola
The y-intercept(s) occur where the graph intersects with the y-axis. This is where x=0, so we can find these y-values by plugging in 0 for x in the equation:
The x-intercept(s) occur where the graph intersects with the x-axis. This is where y=0, so we can find these x-values by plugging in 0 for y in the equation:
add 16 to both sides
take the square root