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Example Questions
Example Question #71 : Coordinate Geometry
Find the length of a line with endpoints at and
.
Recall the distance formula for a line with two endpoints :
Plug in the given points to find the length of the line:
Example Question #72 : Coordinate Geometry
A line segment on the coordinate plane has its endpoints at and
.
Give the length of the segment to the nearest whole tenth.
The distance between endpoints and
on the coordinate plane can be calculated using the distance formula
Set , and evaluate:
,
the correct length.
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 #2 : 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 point
Only will satisfy the equation on both the left and right side.
Example Question #1 : How To Find Out If A Point Is On A Line With An Equation
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 #71 : Coordinate Geometry
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 #4 : How To Find Out If A Point Is On A Line With An Equation
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 : How To Find Out If A Point Is On A Line With An Equation
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 : How To Find Out If A Point Is On A Line With An Equation
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.
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