In Exercises 47–50, write each English sentence as an equation in...

Question

In Exercises 47–50, write each English sentence as an equation in two variables. Then graph the equation.

y = 5 (Let x = -3, - 2, - 1, 0, 1, 2, and 3.)

Accepted Answer

Hey everyone welcome back in this problem. We are asked to graph the following equation. The equation we're given is y. Is equal to 17/2. Now, when we have y is equal to a constant, we want to think about this being a horizontal line. Okay. We have a single value of Y and it doesn't depend on X. Okay. So we're going to get a horizontal line. So if we look at our answer traces A as a horizontal line, B. As a horizontal line. We C C and D. Are vertical lines. Okay. So the value of Y is changing with the value of X. Which is not what we want. We can immediately eliminate C. And D. And then we're left with A. And B. All right, let's just draw a little table of values. Okay. We see that our graph goes from X is negative 10 to X. Is 10. I'm just gonna draw out a little table of values to make it clear what exactly this equation is telling us. So if we have X values Y values. Okay. And let's just pick a few. So if we have negative 10 negative 505 and 10 cane not all of them. Just a few. We have Y is equal to 17/2 and that doesn't depend on why or on X. Sorry? So when X is negative 10, Y is 17/2. When X is -5, Y is 17/2. When X is zero, Y is 17/2. Okay, so you see this this pattern. It does not depend on X or Y value just stays as this constant value. So we should draw this on a graph. Okay. We're gonna have a horizontal line. Like we said, the Y value isn't gonna change and our Y value is gonna be 17/2. So if we choose say this point here we'll call this 17/2. Then our function is just gonna be this line and let me move that because it's going to be right in the middle of our line That goes right through there. Y is equal to 17/2. This is our Y axis and X axis as you All right. So if we compare that to the possible answer choices were down to A. And B. We see it A in a This graph goes through the 0. 17. So this is at a Y. Value of 17, which is not 17/2. Okay. And we CMB this is a horizontal line at Y is equal to 8. which is 17/2. So that's the one we're looking for. That's like that graph we drew. We have a horizontal line that Y. Is equal to 17 over to NB That's it for this one. Thanks everyone for watching. See you in the next video

In Exercises 47–50, write each English sentence as an equation in two variables. Then graph the equation. y = 5 (Let x = -3, - 2, - 1, 0, 1, 2, and 3.)

Key Concepts

Linear Equations

Graphing Techniques

Substitution Method

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