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Example Questions
Example Question #1 : Linear Functions
Which of the following is a horizontal line?
A horizontal line has infinitely many values for , but only one possible value for
. Thus, it is always of the form
, where
is a constant. Horizontal lines have a slope of
. The only equation of this form is
.
Example Question #1 : Linear Functions
Which of the following is a vertical line?
A vertical line is one in which the values can vary. Namely, there is only one possible value for
, and
can be any number. Thus, by this description, the only vertical line listed is
.
Example Question #2 : Linear Functions
Which of the following has a slope of 0?
A line with a slope of zero will be horizontal. A horizontal line has only one possible value for , and
can be any value.
Thus, the only given equation which fits this description is .
Example Question #2 : Linear Functions
Which of the following is a vertical line?
A vertical line has infinitely many values of but only one value of
. Thus, vertical lines are of the form
, where
is a real number. The only equation of this form is
.
Example Question #3 : Linear Functions
Solve for the - and
- intercepts:
To solve for the -intercept, set
to zero and solve for
:
To solve for the -intercept, set
to zero and solve for
:
Example Question #4 : Linear Functions
Solve:
No solutions
Infinitely many solutions
Use substution to solve this problem:
becomes
and then is substituted into the second equation. Then solve for
:
, so
and
to give the solution
.
Example Question #1 : Transformations Of Linear Functions
Write in slope-intercept form.
Slope-intercept form is .
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