VIDEO1:y=1x/5+3 GRAPH Equation of a LINE
Dec 13, 2021
Hi, class. This is miss champagne, and today I'm going to teach you 8-AA .6, graph a line using slope and Y intercept. So we are going to start out by writing the equation and what is called slope intercept form. And that's just a fancy way of saying we have Y equals a number, which is called our slope. Then we have our X plus another number. Which is the Y intercept. Our slope is always a fraction. That means there's going to be a number at the top. And a number at the bottom for our slope. Our Y intercept is the point that touches the Y axis. Not the X axis. There are different words that you'll see on tests to refer to slope. And I'll tell you 5 of those different terms that you can see that refers to slope. Slope can be called a rate of change. That still means slope. Slope can be called constant of proportionality that still means slope. Slope can be called rise over run, which means the Y axis is the axis that rises up to the sky. Run refers to your X axis at the bottom. That still means slope. You can see subtract. Wise on top. Over. Subtract. X's on the bottom. All of those still mean slope. Okay? So we are going to do an example. And the example looks like this. Y equals one 5th X plus three. So let's write that on our papers. Y equals. One 5th X plus three. And remember the plus sign and the number in the back is our Y intercept. The number in front is our slope. You're going to put the word dot. You're going to put a dot on positive three on the Y axis. The top number, you're going to write the word, you, P because you're always going to go up. Because this slope is positive, you're going to go to the right. 5 times. So let's go ahead and grab this. Put a dot on positive three, go up one, over 5. Very simple. So I'm going to find positive three on the Y axis. If you note, there's a positive three here on the X axis and one on the Y axis, please put it on the Y axis. Then the slope tells me here to go up one line and go 5 lines to the right. So let's do what it says. We're going to go up one line. And then go 5 lines to the right. One, two, three, four, 5. Place our dot. This is the line that matches this equation. And we know that because we see a dot at the positive three, and then the slope told us to go up one line into the right 5 lines. That's what we did. Let's hit submit. And that is correct.