Graphing
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Pre-Algebra › Graphing
Write the ordered pair of points a, b, and c.
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.
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
Write the ordered pair of points a, b, and c.
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.
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
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 .
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.
What is the slope and y-intercept of the equation
Explanation
The slope intercept formula is:
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:
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:
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.
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.
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 .