In Exercises 49–58, graph each equation in a rectangular coordina...

Question

In Exercises 49–58, graph each equation in a rectangular coordinate system. 3x -18=0

Accepted Answer

Welcome back. I am so glad you're here. We are given this equation five X minus equals zero. And we are asked to graphic. So first I would like to get this X by itself. So I'm going to add 15 to both sides of the equation. And then we have five X equals a positive 15 and the next is almost by itself. Let's divide both sides by five. And then we have X equals three. So this is our simplified equation X equals three. Now how do you graph X equals three. Well let's draw a rough sketch of a rectangular coordinate system here. We've got a horizontal X. Axis of vertical Y axis and they come together at the origin 00 in the middle. Now for the X values were just told X equals three. So that would be from the origin heading to the right 123. That's right here. And so the Y values can actually be anything. Why could be Three also? Which would be right here. Why could be zero? Which would be right here. Why could be negative 5000? Which would be further down than I drew. But you know down here, why could be anything but X is always going to be three. So we can actually draw a vertical line. Oh I kind of missed it. We're going to draw a vertical line through X equals three. And that is the line X equals three. And coincidentally it is also the line F R five X minus 15 equals zero. Those are the same thing. They're equivalent. So there's our line. it's going through the X. Axis at 30. We have an X. Intercept rate there. So now let's look for an answer choice that has an X. Intercept at 30. We'll answer choice A. Has an X intercept at 15 0. So answer choice A. Doesn't work. Let's check answer choice B. Dragging this down. Answer choice B. Has an X. Intercept at 05 nope. That one's not going to work. Sorry answer choice B. We reject you. Now let's check answer choice C. Answer choice C. Does have an X. Intercept at 30. That one's looking pretty good. Let's check answer choice D. Real quick to make sure and answer choice D. Is at negative 30. So answer choice D. Doesn't work. Answer choice C. You are the winner. You are our line at five X minus equals zero. Well done. We'll catch you on the next one.

In Exercises 49–58, graph each equation in a rectangular coordinate system. 3x -18=0

Key Concepts

Linear Equations

Graphing Linear Equations

Rectangular Coordinate System

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