Match each equation with the sketch that most closely resembles i...

Question

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

Accepted Answer

Hello, everybody. I have everything right today today, we're going to look at this question that states sketch the graph using the given equation where the equation is simply X is equal to 72. Now, the first thing we wanna do here is there a Y axis and an X axis. And now we look at what the equation is. So the equation was X equal 72. And now we have to think what does this mean? So what do they mean by an equation of 72? Well, let's just plot exactly that. Let's say we go to the 0.72 or an X of value of 72 in our graph and we plug a point there. Now that is the only information they gave us about our line. So that means that our will always be and for our X to always be 72 that means our line cannot be moving left or right, the X values cannot change. Therefore, our line will be a straight line going up and down on the point X equals 72. So the Y values can change up and down, but the line will not be moving left to right. So it's a vertical line at the point X equals 72. And we can note that a slope, the slope of a line like this will be undefined. And this is because slow is equal to rise divided by run four, the change in Y divided by the change in X. Now, in our case, we have, we can have a change in why? So our Y will be changing upwards and downwards. However, our delta X or our change in X will be zero because we're not moving left or right. So our X is never changing. Therefore, if we're dividing by zero, that means our slope would be undefined because we cannot divide by zero. So when they give us an equation of a line, simply as X equal to a number, all that means is that our graph will be a vertical line at that X that they gave us. In this case, a vertical line at X equals 72 with a slope that is undefined. So I hope that was helpful. And until next time.

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

Key Concepts

Vertical Lines

Graphing Linear Equations

Coordinate Plane

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