Match each equation with the sketch that most closely resemble...

Question

Match each equation with the sketch that most closely resembles its graph. y = 5

Four coordinate plane sketches labeled A to D, each showing a blue horizontal or vertical line on the x-y axes.

Accepted Answer

Hello, everybody. I have everything. All right today. But we're going to put again this question that states sketched the graph using the given equation where the equation is simply Y equals 96. Now, the first thing I'll do is draw the plots of where I'll be graphing our equation. So I'm drawing a Y axis and an X axis. Now, I have to think about what our equation means. So our equation is just Y equals 96 where usually we can have something in the form of Y equals X plus B where they give us the slope and the, and the Y intercept and such. But in this case, all they told us was that Y equals 96 that is it. So let's do exactly that. We, let's say we have a point at a Y of 96. And now, where do we go from here? Well, if they tell us that Y is 96 Y equals 96 that's it. That means that Y will always be equal 96 it won't equal anything else. Therefore, our line cannot be changing in Y values. So it cannot be moving up or down the Y axis. So that means we'll have a horizontal line that intersects the Y, the Y axis at 96 at a Y value of 96. So if we have a horizontal line, that way, our line is not moving up or down the Y axis and not changing the Y values. So the equation for our line will always be Y equals 96. Now, we can note that the slope will be equal to zero N Y. Well, because slow equals rise divided by the run or rise overrun. And that can also be interpreted as the change in Y over the change in X. So delta Y divided by delta X. Now, in our case, which is a horizontal line, we'll have that the rise is zero or the change in Y is zero because again, we have a horizontal line which is not moving up or down. Oh And that, that will be divided by the change in X. Now the change in X, there will be a change in X as we move right or left. However, zero, divided by anything is zero. So therefore, slope equals zero. So the slope of any horizontal line doesn't have to be A Y equals will be zero. So that means that our, the equation or the graph for our equation will be a horizontal line at A Y value of 96. So I hope that was helpful. And until next time.

Match each equation with the sketch that most closely resembles its graph. y = 5

Key Concepts

Horizontal Lines

Graphing Linear Equations

Coordinate Plane and Axes

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