Graphing - Math
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The equation of a line is 
.
What are the slope and the y-intercept?
The equation of a line is
What are the slope and the y-intercept?
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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.
The equation of the line is written in slope-intercept form,
What is the slope of the line 
?
What is the slope of the line
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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
What is the slope of the line that contains the points
and 
What is the slope of the line that contains the points
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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 
.
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
In this case we will make
Plugging the points into the equation yields
Perform the math to arrive at
The answer is
What is the slope of the line that contains the points 
and 
?
What is the slope of the line that contains the points
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To find the slope of a line with two points we must properly plug the points into the slope equation: 
We must then assign the variables and .
In this case we will plug in 
for and 
for .
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 we must properly plug the points into the slope equation:
We must then assign the variables
In this case we will plug in
Plugging the points into the equation yields
Perform the math to arrive at
The answer is
What is the y-intercept of the line 
?
What is the y-intercept of the line
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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 
.
The y-intercept is the point at which the line intersects the y-axis.
It does this at
We plug
Anything multiplied by
Our coordinates for the y-intercept are
Graph the point 
.
Graph the point
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The first number in the ordered pair indicates how far left or right the point resides from the origin. The second number in the ordered pair indicates how far up or down the point resides from the origin. Numbers that are positve are located on the right side and above the origin while negative numbers are located to the left of or below the origin. This point resides to 2 units to the right and 1 unit above the origin.
The first number in the ordered pair indicates how far left or right the point resides from the origin. The second number in the ordered pair indicates how far up or down the point resides from the origin. Numbers that are positve are located on the right side and above the origin while negative numbers are located to the left of or below the origin. This point resides to 2 units to the right and 1 unit above the origin.
Graph the point 
.
Graph the point
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The first number in the ordered pair indicates how far left or right the point resides from the origin. The second number in the ordered pair indicates how far up or down the point resides from the origin. Numbers that are positve are located on the right side and above the origin while negative numbers are located to the left of or below the origin. This point is located 3 units to the left and 7 units above the origin.
The first number in the ordered pair indicates how far left or right the point resides from the origin. The second number in the ordered pair indicates how far up or down the point resides from the origin. Numbers that are positve are located on the right side and above the origin while negative numbers are located to the left of or below the origin. This point is located 3 units to the left and 7 units above the origin.
Graph the point 
Graph the point
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The first number in the ordered pair indicates how far left or right the point resides from the origin. The second number in the ordered pair indicates how far up or down the point resides from the origin. Numbers that are positve are located on the right side and above the origin while negative numbers are located to the left of or below the origin.This point is located 4 units to the right and 5 units below the origin.
The first number in the ordered pair indicates how far left or right the point resides from the origin. The second number in the ordered pair indicates how far up or down the point resides from the origin. Numbers that are positve are located on the right side and above the origin while negative numbers are located to the left of or below the origin.This point is located 4 units to the right and 5 units below the origin.
What point is depicted here?
What point is depicted here?
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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.
Which set of three points falls on the line 
?
Which set of three points falls on the line
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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:
If the equation of a line is 
, what is the y-intercept?
If the equation of a line is
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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
What is the slope of the line 
.
What is the slope of the line
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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
What is the y-intercept of the line 
?
What is the y-intercept of the line
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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
What is the slope of a line that is parallel to 
?
What is the slope of a line that is parallel to
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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
What is the slope of a line that is perpendicular to 
?
What is the slope of a line that is perpendicular to
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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
Define the point based on the coordinate plane.
Define the point based on the coordinate plane.
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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
What is the slope of the line with the equation 
?
What is the slope of the line with the equation
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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
What is the slope of the line 
?
What is the slope of the line
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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
What is the y-intercept of the line 
?
What is the y-intercept of the line
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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
What is the slope of a line that is parallel to 
?
What is the slope of a line that is parallel to
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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