All Intermediate Geometry Resources
Example Questions
Example Question #1 : How To Find Out If A Point Is On A Line With An Equation
A line passes through both the origin and the point
. Which of the following points are NOT on the line?
Because the line passes through the origin, all of the points on the line will have an
ratio of . Only does not meet this requirement.Example Question #1 : How To Find Out If A Point Is On A Line With An Equation
Which of the following points does NOT lie on the graph of
To find if a point lies on a graph or not, simply plug the x and y values into your equation and see if it holds true. Plugging our x values into the equation
gives us the following:
and
So our points are
and . This makes the only point that does not lie on our graph.Example Question #1 : How To Find Out If A Point Is On A Line With An Equation
Which of the following points exists on the line
?
Substitute each answer choice into the equation in question,
, in order to test if the equation is valid at the given pointOnly
will satisfy the equation on both the left and right side.Example Question #1 : Other Lines
Which of the following points exist on the line
?
The line
is a vertical line. This means that any point with an -value of will exist on the line.The only possible point with an
-value of is .Example Question #5 : How To Find Out If A Point Is On A Line With An Equation
Which point will exist on the line
?
The line
is a horizontal line with points all -values equal to .The only possible answer with a
-value of is .Example Question #2 : Other Lines
Which point is on the line
?
A point is on a line if, plugged in, it creates a true mathematical equation.
For example,
is definitely on the line because when you plug it in, it creates a true equation:plug in the and values
multiply
this is true, so that point is on the line
The point that does not work is
:multiply
subtract
Since this is not true, the point is NOT on the line.
Example Question #3 : Other Lines
Which point is NOT on the line
?
A point is on a line if, plugged in, it creates a true mathematical equation.
For example,
is definitely on the line because when you plug it in, it creates a true equation:plug in the and values
multiply
this is true, so that point is on the line
The point that does not work is
:multiply
subtract
Since this is not true, the point is NOT on the line.
Example Question #4 : Other Lines
Which point is NOT on the line
?
A point is on a line if, plugged in, it creates a true mathematical equation.
For example,
is definitely on the line because when you plug it in, it creates a true equation:plug in the and values
multiply
this is true, so that point is on the line
The point that does not work is
:multiply
subtract
Since this is not true, the point is NOT on the line.
Example Question #5 : Other Lines
Which point is NOT on the line
?
A point is on a line if, plugged in, it creates a true mathematical equation.
For example,
is definitely on the line because when you plug it in, it creates a true equation:plug in the and values
multiply
this is true, so that point is on the line
The point that does not work is
:multiply
subtract
Since this is not true, the point is NOT on the line.
Example Question #6 : Other Lines
The equation of a line is given below:
which point below can be found is NOT on the line?
To find the solution to this problem just do a quick check, pluggin in each point's x and y value into the equation. Remember coordinates are written with the x-value first, then the y-value (x,y).
If you try each point the only one that doesn't work is (8,2) !
In other words, if the x-value is 8 the y-value should be 4!