Write a function that describes a relationship between two quantities - HiSET
Card 1 of 4
is a linear function defined on the set of real numbers. Four values of 
are given in the following table:
Give the definition for 
.
Give the definition for
Tap to reveal answer
By the two-point formula, the equation of a line through points 
is
,
where 
, the slope of the line. The choice of the two points from the given four is arbitrary, so we will select the middle two ordered pairs. Substituting 
, then
The first formula becomes
Since 
, solve for 
. First, distribute 
throughout the difference at right:
Isolate 
by adding 10 to both sides:
Replacing, the definition of 
is
.
By the two-point formula, the equation of a line through points
where 
The first formula becomes
Since
Isolate
Replacing, the definition of
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is a linear function defined on the set of real numbers. Four values of are given in the following table:
Give the definition for .
Give the definition for
Tap to reveal answer
By the two-point formula, the equation of a line through points is
,
where , the slope of the line. The choice of the two points from the given four is arbitrary, so we will select the middle two ordered pairs. Substituting , then
The first formula becomes
Since , solve for . First, distribute throughout the difference at right:
Isolate by adding 10 to both sides:
Replacing, the definition of is
.
By the two-point formula, the equation of a line through points
where
The first formula becomes
Since
Isolate
Replacing, the definition of
← Didn't Know|Knew It →
is a linear function defined on the set of real numbers. Four values of are given in the following table:
Give the definition for .
Give the definition for
Tap to reveal answer
By the two-point formula, the equation of a line through points is
,
where , the slope of the line. The choice of the two points from the given four is arbitrary, so we will select the middle two ordered pairs. Substituting , then
The first formula becomes
Since , solve for . First, distribute throughout the difference at right:
Isolate by adding 10 to both sides:
Replacing, the definition of is
.
By the two-point formula, the equation of a line through points
where
The first formula becomes
Since
Isolate
Replacing, the definition of
← Didn't Know|Knew It →
is a linear function defined on the set of real numbers. Four values of are given in the following table:
Give the definition for .
Give the definition for
Tap to reveal answer
By the two-point formula, the equation of a line through points is
,
where , the slope of the line. The choice of the two points from the given four is arbitrary, so we will select the middle two ordered pairs. Substituting , then
The first formula becomes
Since , solve for . First, distribute throughout the difference at right:
Isolate by adding 10 to both sides:
Replacing, the definition of is
.
By the two-point formula, the equation of a line through points
where
The first formula becomes
Since
Isolate
Replacing, the definition of
← Didn't Know|Knew It →