All Pre-Algebra Resources
Example Questions
Example Question #12 : Graphing Points
Write the ordered pair of points a, b, and c.
An ordered is always written in the following format:
where x is the position on the x-axis, and y is the position on the y-axis.
If we look at point a, we find where it falls on the x-axis. We can see that it's position on the x-axis is 1. Then, we see where it falls on the y-axis. It's position on the y-axis is 4. So, we can write the ordered pair for point a as
We will do the same for b. The position of point b on the x-axis is -5. The position of point b on the y-axis is 2. So, we can write the ordered pair for point b as
And finally for c. The position of point c on the x-axis is zero. The position of point c on the y-axis is -5. So, we can write the ordered pair of point c as
Example Question #13 : Graphing Points
Which of the following points is found in the second quadrant of a coordinate plane?
The following coordinate plane displays the different quandrants.
You can also see there is a point that has been graphed.
That point is (-3, 4).
Therefore, (-3, 4) can be found in the second quandrant of a coordinate plane.
Example Question #14 : Graphing Points
Find the midpoint of the following points:
(-5, 6) and (1, 2)
The midpoint formula is
where and are the points given. So, using the points
(-5, 6) and (1, 2) we can substitute into the midpoint formula and get
Therefore, the midpoint is (-2, 4).
Example Question #15 : Graphing Points
Which quadrant does the coordinates belong to?
When looking at a coordinate plane, draw the letter C in there making sure you connect all four quarters of the grid. The C should start in the top right corner, move to the top left, then bottom left, then finish in the bottom right corner.
The quadrants start with and finish with .
Therefore the coordinates means to the right and down which would place the coordinates in quadrant 4.
Example Question #1 : Graphing Lines
What is the slope of the line with the equation ?
In the standard form equation of a line, , the slope is represented by the variable .
In this case the line has a slope of .
Therefore the answer is .
Example Question #2 : Graphing Lines
What is the slope of the line that contains the points
and
To find the slope of a line with two points you must properly plug the points into the slope equation for two points which is
We must then properly assign the points to the equation as and .
In this case we will make our and our .
Plugging the points into the equation yields
Perform the math to arrive at
The answer is .
Example Question #1 : How To Graph A Line In Pre Algebra
What is the slope of the line ?
In the standard form of a line the slope is represented by the variable .
In this case the line has a slope of .
The answer is .
Example Question #3 : Graphing Lines
The equation of a line is .
What are the slope and the y-intercept?
Slope:
y-intercept:
Slope:
y-intercept:
Slope:
y-intercept:
Slope:
y-intercept:
Slope:
y-intercept:
The equation of the line is written in slope-intercept form, , where is the slope and is the y-intercept. In this example, the y-intercept is a negative number.
Example Question #1 : How To Graph A Point In Pre Algebra
What is the y-intercept of the line ?
The y-intercept is the point at which the line intersects the y-axis.
It does this at .
We plug in for in our equation, , to give us .
Anything multiplied by is , so .
Our coordinates for the y-intercept are .
Example Question #2 : Graphing Lines
What is the slope of the line ?
In the slope-intercept form of a line, , the slope is represented by the variable .
In this case the line
has a slope of .
The answer is .
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