Pre-Algebra : Graphing

Study concepts, example questions & explanations for Pre-Algebra

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Example Questions

Example Question #12 : Graphing Points

Write the ordered pair of points a, b, and c.

Coordinate plane

Possible Answers:

Correct answer:

Explanation:

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.

Coordinate plane

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?

Possible Answers:

Correct answer:

Explanation:

The following coordinate plane displays the different quandrants.

 Quadrants

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)

Possible Answers:

Correct answer:

Explanation:

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?

 

Possible Answers:

Correct answer:

Explanation:

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 ?

Possible Answers:

Correct answer:

Explanation:

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 

Possible Answers:

Correct answer:

Explanation:

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 ?

Possible Answers:

Correct answer:

Explanation:

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?

Possible Answers:

Slope:

y-intercept:

Slope:

y-intercept:

Slope:

y-intercept:

Slope:

y-intercept:

Correct answer:

Slope:

y-intercept:

Explanation:

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 ?

Possible Answers:

Correct answer:

Explanation:

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 ?

Possible Answers:

Correct answer:

Explanation:

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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