Graph each line. Give the domain and range. x = -4

Question

Accepted Answer

Hey, everyone. Here we are asked to plot the given line on a rectangular coordinate system. And also we are asked to find the domain and range. The given line is X is equal to negative 56. Here we have four answer choice options, ABC and D, each of which display a graph of our given line as well as state some domain and range. So now looking at our given line again, we have X is equal to negative 56. So our first step is to graph our line. So we first need to set up our rectangular coordinate system. First, we need to draw a vertical line to represent our Y axis. And then we have a horizontal line which passes through the midpoint of our Y axis and this horizontal line represents our X axis. And so now again, we have the, the line X is equal to negative 56. So to graph this line, we need to note negative 56 on the X axis. And now we just need to draw a vertical line which passes through the negative 56 on the X axis. So we see our line passes through the point negative 56 0. So now with a or vertical line drawn, we can identify our domain and range of our line. So beginning with our domain. Well, we see from our equation that X is equal to negative 56. And we also see on our graph that X always will remain at negative 56. Therefore, our domain is the set of X values where we just have negative 56 since X remains constant. Now, moving on, we can bind our range and looking at our graph, we see we have a vertical line which extends encompassing all Y values. And this tells us that our range is from negative infinity to positive infinity because again, we can include all Y values in our range. So here we have our domain and range identified as well as the graph of our given line in a rectangular coordinate system. So here we are left with answer choice B where we again, we have a domain as the set of negative 56. A range from negative infinity to positive infinity. And then a graph of our vertical line X is equal to negative 56. Thanks for watching. I hope you found this video helpful and I'll see you again next time.

Graph each line. Give the domain and range. x = -4

Key Concepts

Graphing Linear Equations

Domain

Range

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