Find the common ratlo for the following sequence.
1 answer:
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Answer:
Step-by-step explanation:
1. Approach,
For this problem, the format of a line that will be used is, slope-intercept form;
Where () is the slope of the line, also known as the change in the line and
is the y-intercept, or where the graph of the line intersects the y-axis. Since, in this problem, the slope of the line is given, all one has to do is substitute in a point on the given line and solve.
2. Finding the equation,
In this problem, the slope of the line is given. Therefore, to solve this problem, all one has to do is substitute in a point on the given line and solve.
Substitute in the slope,
Substitute in the point,
Simplify,
Inverse operations,
3. Putting it all together,
Now, that one has y-intercept, (); use the given slope and the formula
, substitute in all the information.
Answer:
I have attached a graph of such a system. The two lines have the same slopes but different y-intercepts, this means the lines are parallel, and therefore the system of equations that they represent has no solutions because the lines never intersect.
Going into your next question, there are three ways the system of equations can be classified: <em>the ones that have a solution, with infinitely many solutions, with no solutions.</em>
The graphs of the system of equations that have a solution intersect exactly at one point.
The graphs of the system of equations that have infinitely many solutions are mapped onto each other (are on top of each-other), and therefore have infinite points of intersection.
The graphs of the system of equations that have no solutions never intersect; these are represented by lines that are parallel.
<u>Hope this helps!</u>
