Finite Mathematics › Linear Equations and Graphs
Graph the function.
To graph the function
,
create an ,
table to find values and then plot those values on a coordinate grid and connect the points.
A pig's age , in human years
, is described by the following function.
In human years , how old is a four year old pig?
To calculate the age of the pig in human years, first recall the equation that given in the question.
Now, identify the known information given in the question.
Since the pig is four years old, the mathematical statement is
Next, substitute in this value into the equation to calculate the human age.
Therefore, the four year old pig is twelve years old in human years.
Which of the following is true of the lines of the equations
and
The lines are parallel.
The lines coincide.
The lines intersect at one and only one point.
is in slope-intercept form.
To get
in slope-intercept form, add to both sides, then multiply both sides by
, as follows:
The system can thus be stated as
The slope of each line is x-coefficient ; the lines have different y-intercepts. This makes them distinct parallel lines.