How to Graph y = x

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MagnetsAndMotors (Dr. B's Other Channel)

Күн бұрын

In this video we'll draw the graph for y = x. You may also see this written as f(x) = x.
First, we will use a table of values to plot points on the graph. Once we have two or three points, we can draw our line for the linear equation. You can choose any values of x for your table, however, 0, 1, and -1 are often best since they result in point that will fit on your graph paper.
We can also use the slope intercept form to draw the graph. Here we use the general format y=mx + b (sometimes written y=mx + c).
b tells us where the graph crosses the y axis. Since we don't "b" in the equation we can write "0" (zero) in it's place. This doesn't change the equation since we aren't really adding anything. But it does let us see that the y-intercept is zero.
That gives us our first point for the graph.
m is the slope. We can use the slope to find the rise over run. For whole numbers, like 1, we consider that to be 1/1. So we go up 1 on the y axis and over 1 on the x axis. We can do that as many times as we need to in order to draw an accurate line.
For y = x we consider the slope to be 1/1.
I prefer to use the slope intercept formula since it is much quicker with some practice. Then I’ll plug some values into y = x to make sure they fall on the line. If they don’t there is likely a problem.
Note that this equation can also be written as y = x + 0. It is the same as y = x. They are just arranged differently. When graphing equations it is helpful to have them in slope intercept form (y = mx + b), just like we have in this video.

Пікірлер: 29

@jblaine6104 Жыл бұрын

Thank you! I needed this for my quiz SO BADLY.

@HoorAinZaheer1234 26 күн бұрын

Thanks alot 1:36

@DrBs-Other-Channel 26 күн бұрын

Happy to help!

@kennithlambert2563 7 ай бұрын

Thanks for the graph, it visually explained y=X .

@alexisreyes4179 Жыл бұрын

Yes I got it hands 🙌🏾. Thank you so much

@SubjectA-5 Жыл бұрын

Thank u sooooo much ❤️

@DrBs-Other-Channel Жыл бұрын

No problem!

@SubjectA-5 Жыл бұрын

❤️❤️❤️❤️❤️

@HighAltitudeEnjoyer Жыл бұрын

There is no slope here because there is no m. So how can it be a straight line?

@pumpkinpie798 Жыл бұрын

there is m and it's equal to 1

@VivekRanjan1007 Жыл бұрын

Slope can be found out using the formula (y2-y1)/(x2-x1). In this case upon solving this formula, we get the slope as 1 or 45°. Note: tan 45°=1. Since y/x is equal to 1 we can equate it to tan 45°. Hence the slope. Hope it clears your doubt :)