Intermediate Geometry : Coordinate Geometry
Study concepts, example questions & explanations for Intermediate Geometry
All Intermediate Geometry Resources
Example Questions
Example Question #1512 : Intermediate Geometry
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:
Second: 
Our two answers are 
Example Question #5 : How To Find X Or Y Intercept
Give the coordinate pair(s) where 
The graph does not intersect with the y-axis.
To find where the graph hits the y-axis, plug in 0 for x:
a)
b)
Example Question #7 : 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:
Example Question #11 : X And Y Intercept
What is the x-intercept of the line
To determine the x-intercept, plug in 
The x-intercept is
Example Question #231 : Coordinate Geometry
What is the x-intercept for the line 
To find the x-intercept, plug in 
Example Question #1521 : Intermediate Geometry
Find the y-intercept for the line
To find the y-intercept, plug in 0 for x, since the y-axis is where x = 0.
The y-intercept is
Example Question #11 : How To Find X Or Y Intercept
Find the x-intercept for the line
To find the x-intercept, plug in 0 for y, since the x-axis is where y = 0
The x-intercept is
Example Question #231 : Coordinate Geometry
What is the y intercept of the line :
Here all we have to remember is that when given a linear equation to find the y-intercept, or where the line crosses the y-axis, we just need to set x=0 and solve for y. This solution is shown below:
Example Question #16 : X And Y Intercept
A rocket is fired that follows the below parabolic path where h(t) represents the height (in feet) over time (in seconds). How much time did the rocket spend in the air?
8 seconds
256 seconds
16 seconds
0 seconds
16 seconds
To solve, you must find the zeros or x-intercepts for the function h(t).
To find x-intercepts, we must plug in 0 for h(t).
Factor to solve - divide by 16t.
Set both parts equat to zero.
The answer is t=16 because when t=0, that is when the rocket is first being fired from the ground, the rocket then returns to the ground after having spent 16 seconds in the air.
Example Question #17 : X And Y Intercept
Find the y-intercept(s) for the circle given by the equation below:
To find the y-intercept for any equation, plug in 0 for x in the original equation.
Simplify
Subtract 25 from both sides
Take the square root of both sides
Subtract 2 from both sides to get the y-intercept.
This circle has one y-intercept.
It is possible for a circle to have one y-intercept, two y-intercepts or no y-intercepts.
All Intermediate Geometry Resources
