Graph each line. Give the domain and range. 3 + x = 0

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Accepted Answer

Welcome back. I am so glad you're here. We're told to plot the given line on a rectangular coordinate system. Also find the domain and range. Our given lines, equation is 16 plus X equals zero. Now typically when we see an equation for a line, it's got A Y and an X and often it's a, we want it to be or it already is in something like slope intercept form where we have Y equals M where m's the slope multiplied by X plus B where B is the Y intercept. But here, all we've got is this X and a number. Well, what we can do is re we can rearrange this. So the X is by itself on one side. So we've got this positive 16, let's subtract 16 from both sides and we get X equals negative 16. That is the equation for a line. In this case, all we know is that X is equal to negative 16. Let me show you what that looks like on a rectangular coordinate system. We can draw a vertical Y axis and a horizontal X axis. They come together at the origin in the middle. Now that only number that we have is the negative 16 from the origin will go to the left 16 units and we can label that as negative 16. And what this means is that X is always going to be negative 16. That's all it can possibly be. But why, why can be anything? Why can be, I don't know one million apparently this is not to scale. Why can be negative two very much not to scale. So why can be anything but X is always going to be negative 16? And we show that by drawing a vertical line through negative 16 to show, hey, the point of negative 16, 1 million is included. And so is the point negative 16, negative two and all the points in between all the different Y values. So how do we show its domain and range? Well, we recall from previous lessons that the domain is all of the possible X values the domain here, there's only one possible X value it's negative 16. So we put open bracket, negative 16, close bracket for our domain. Our range. That's all the possible why values why could be anything from negative infinity to positive infinity? So we put open parentheses, negative infinity, comma infinity, closed parentheses. And there is our graph and there's our domain and our range. Well done. We'll catch you on the next one.

Graph each line. Give the domain and range. 3 + x = 0

Key Concepts

Linear Equations

Domain

Range

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