Graphing

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Pre-Algebra › Graphing

Questions 1 - 10
1

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

Coordinate plane

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

2

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

Coordinate plane

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

3

Which of the follow lines is parallel to:

Cannot be determined

Explanation

It is known that parallel lines have the same slope and therefore a line that is parallel to:

MUST have the same slope of .

4

Find the y-intercept in the following equation:

Explanation

To find the y-intercept, we must first write the equation in y-intercept form

where b is the y-intercept. So,

we must solve for y. We must divide each term by 3. We get

Therefore, the y-intercept is -9.

5

What is the slope and y-intercept of the equation

Explanation

The slope intercept formula is:

6

and are two points on a line. What is the slope of this line?

Explanation

The slope of the line is determined by . In other words, we can use the formula .

Let's choose the coordinate to be ( , ) and to be ( , ).

We can now use the formula above:

7

and are two points on a line. What is the slope of this line?

Explanation

The slope of the line is determined by . In other words, we can use the formula .

Let's choose the coordinate to be ( , ) and to be ( , ).

We can now use the formula above:

8

Find the y-intercept in the following equation:

Explanation

To find the y-intercept, we must first write the equation in y-intercept form

where b is the y-intercept. So,

we must solve for y. We must divide each term by 3. We get

Therefore, the y-intercept is -9.

9

Find the y-intercept of the following equation of a line:

Explanation

To find the y-intercept of an equation, we must first write it in slope-intercept form

where m is the slope and b is the y-intercept. So, in our equation of a line, we must solve for y.

We must divide each term by 3.

where -4 is the slope and 12 is the y-intercept.

Therefore, the y-intercept is 12.

10

What is the slope of the line with the equation ?

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 .

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