How to identify a point in pre-algebra - High School Math
Card 0 of 20
What point is depicted here?
What point is depicted here?
The point resides in quadrant 1, indicating that both the x-value and y-value are positive. The point is given by 
, where 
is the number of horizontal units and 
is the number of vertical units. The image depicts a point that is 
units to the right and 
units up; therefore 
is the correct answer.
Remember that movement to the right or up is positive, while movement to the left or down is negative.
The point resides in quadrant 1, indicating that both the x-value and y-value are positive. The point is given by
Remember that movement to the right or up is positive, while movement to the left or down is negative.
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Which set of three points falls on the line 
?
Which set of three points falls on the line
To determine which set of points is correct, substitute each of the values into the equation and determine if the equation is true.
Correct points:
Incorrect points:
To determine which set of points is correct, substitute each of the values into the equation and determine if the equation is true.
Correct points:
Incorrect points:
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If the equation of a line is 
, what is the y-intercept?
If the equation of a line is
In the slope-intercept form of a line, 
, the y-intercept when the line intersects the y-axis.
It does this at 
.
So we plug 
in for 
in our equation 
to give us 
.
Anything multiplied by 
is 
so 
.
Our coordinates for the y-intercept are 
.
In the slope-intercept form of a line,
It does this at
So we plug
Anything multiplied by
Our coordinates for the y-intercept are
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What is the slope of the line 
.
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 
.
In the standard form of a line
In this case the line
The answer is
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What is the y-intercept of the line 
?
What is the y-intercept of the line
In the standard form of a line 
the y-intercept occurs when the line intersects the y-axis.
It does this at 
So we plug 
in for 
in our equation 
to give us 
.
Anything multiplied by 
is 
so 
.
Our coordinates for the y-intercept are 
.
In the standard form of a line
It does this at
So we plug
Anything multiplied by
Our coordinates for the y-intercept are
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What is the slope of a line that is parallel to 
?
What is the slope of a line that is parallel to
Parallel lines have the same slope.
If an equation is in point-slope form, 
, we take the 
from our equation and set it equal to the slope of our parallel line.
In this case 
The slope of our parallel line is 
.
Parallel lines have the same slope.
If an equation is in point-slope form,
In this case
The slope of our parallel line is
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What is the slope of a line that is perpendicular to 
?
What is the slope of a line that is perpendicular to
The slope of a perpendicular lines has the negative reciprocal of the slope of the original line.
If an equation is in point-slope form, 
, we use the 
from our equation as our original slope.
In this case 
First flip the sign to get 
.
To find the reciprocal you take the integer and make it a fraction by placing a 
over it. If it is already a fraction just flip the numerator and denominator.
Do this to make the slope 
The slope of the perpendicular line is 
.
The slope of a perpendicular lines has the negative reciprocal of the slope of the original line.
If an equation is in point-slope form,
In this case
First flip the sign to get
To find the reciprocal you take the integer and make it a fraction by placing a
Do this to make the slope
The slope of the perpendicular line is
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Define the point based on the coordinate plane.
Define the point based on the coordinate plane.
The point resides in quadrant I (the upper right quadrant), so both values must both be positive. The only possible solution is 
.
The point resides in quadrant I (the upper right quadrant), so both values must both be positive. The only possible solution is
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What is the slope of the line with the equation 
?
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 
.
In the standard form equation of a line,
In this case the line
Therefore the answer is
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What is the slope of the line 
?
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 
.
In the slope-intercept form of a line,
In this case the line
has a slope of
The answer is
Compare your answer with the correct one above
What is the y-intercept of the line 
?
What is the y-intercept of the line
In the slope-intercept form of a line, , the y-intercept is when the line intersects the y-axis.
It does this at .
So we plug in for in our equation
to give us
Anything multiplied by is so
Our coordinates for the y-intercept are 
.
In the slope-intercept form of a line,
It does this at
So we plug
to give us
Anything multiplied by
Our coordinates for the y-intercept are
Compare your answer with the correct one above
What is the slope of a line that is parallel to 
?
What is the slope of a line that is parallel to
Parallel lines have the same slope.
If an equation is in slope-intercept form, , we take the from our equation and set it equal to the slope of our parallel line.
In this case 
.
The slope of our parallel line is 
.
Parallel lines have the same slope.
If an equation is in slope-intercept form,
In this case
The slope of our parallel line is
Compare your answer with the correct one above
What is the slope of a line that is perpendicular to 
?
What is the slope of a line that is perpendicular to
The slope of a perpendicular lines has the negative reciprocal of the slope of the original line.
If an equation is in slope-intercept form, , we use the from our equation as our original slope.
In this case 
First flip the sign 
To find the reciprocal you take the integer and make it a fraction by placing a 
over it. If it is already a fraction just flip the numerator and denominator.
Do this to make the slope
The slope of the perpendicular line is
.
The slope of a perpendicular lines has the negative reciprocal of the slope of the original line.
If an equation is in slope-intercept form,
In this case
First flip the sign
To find the reciprocal you take the integer and make it a fraction by placing a
Do this to make the slope
The slope of the perpendicular line is
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What is the slope of the line that contains the points, 
and 
?
What is the slope of the line that contains the points,
To find the slope of a line with two points you must properly plug the points into the slope equation for two points which looks like
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 
.
To find the slope of a line with two points you must properly plug the points into the slope equation for two points which looks like
We must then properly assign the points to the equation as
In this case we will make
Plugging the points into the equation yields
Perform the math to arrive at
The answer is
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What is the slope of the line that contains the points, 
and 
?
What is the slope of the line that contains the points,
To find the slope of a line with two points you must properly plug the points into the slope equation for two points which looks like
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 
.
To find the slope of a line with two points you must properly plug the points into the slope equation for two points which looks like
We must then properly assign the points to the equation as
In this case we will make
Plugging the points into the equation yields
Perform the math to arrive at
The answer is
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You are given an ordered pair, 
. Which of the two values of the ordered pair corresponds to the following statement:
"Moving a horizontal distance to the right from the origin?"
You are given an ordered pair,
"Moving a horizontal distance to the right from the origin?"
When we're given a point, 
, the 
value corresponds to the distance from the origin horizontally (with negative distance corresponding to moving to the left). Thus, our 
value in this case is 
and thus that is our answer.
When we're given a point,
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What is the slope of the line 
?
What is the slope of the line
In the standard form of a line, 
, the slope is represented by the variable 
(and the y-intercept is represented by the variable 
). In this case, the line 
has a slope of 
.
In the standard form of a line,
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What is the y-intercept of the line 
?
What is the y-intercept of the line
In the standard form of a line, , the slope is represented by the variable and the y-intercept is represented by the variable . In this case, the line 
has a y-intercept of 
.
We can verify this answer by substituting 
into the equation, since the y-intercept is where the line intersects the y-axis (where ).
.
In the standard form of a line,
We can verify this answer by substituting
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What is the slope of a line that is parallel to the line 
?
What is the slope of a line that is parallel to the line
In the standard form of a line, , the slope is represented by the variable (and the y-intercept is represented by the variable ). Since parallel lines have the same slope, we would expect the line in question to have the same slope as , or 
.
In the standard form of a line,
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What is the slope of a line that is perpendicular to the line 
?
What is the slope of a line that is perpendicular to the line
In the standard form of a line, , the slope is represented by the variable (and the y-intercept is represented by the variable ). Since perpendicular lines have opposite slopes, we would expect the line in question to have a slope that is the negative reciprocal of the slope of the line . Since the slope of the line is 
, we would expect the perpendicular line to have a slope of 
.
In the standard form of a line,
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