So if this is my x-axis, That is my y-axis. I'm going to go negative four in the x direction. So one, two, three, four. Negative four. And then one, two, three, four, five, six, in the y direction. So the point that we care about is going to be right over there. Negative four comma six. And what is the equation of the horizontal line? It is a horizontal line. So it's just going to go straight left, right like this.
That is what the line would actually look like. So what is that equation? Well, for any x, y is going to be equal to six. This is the equation, y is equal to six. Doesn't matter what x you input here, you're gonna get y equals six. It just stays constant right over there. So the equation is y is equal to six.
Let's do another one of these. So here we are asked what is the slope of the line y is equal to negative four? So let's visualize it and then in the future, you might not have to draw it like this. But let's just draw our axis again. X-axis y-axis and the slope of line y equals negative four. So for whatever x you have, y is going to be negative four. Let's say that's negative four right over there. And so, the line is y the line is y equals negative four.
So I can draw it like this. So what's the slope of that? Well, slope is change in y for given change in x. And here, no matter what I change my x, y doesn't change. It stays at negative four. In other words, a straight line that has an intercept only on the y-axis, not on the x-axis is called a horizontal line. The base that we draw for flat shapes is a horizontal line. Let us learn the properties of the horizontal line, its equation, and the slope of a horizontal line.
Horizontal lines are also known as sleeping lines. In coordinate geometry , horizontal lines are those lines that are parallel to the x-axis.
In geometry, we can find horizontal line segments in many shapes , such as quadrilaterals , 3d shapes , etc. In real life, we can find horizontal lines on the steps of the staircase, planks on the railway tracks, etc.
The slope of a horizontal line is zero. Hence there is no change in y coordinates and eventually, the slope of the horizontal line is 0. Let us understand this by drawing a horizontal line on a coordinate plane. Follow the steps to draw a horizontal line on a coordinate plane. We can see that, there is no change in the y point on a horizontal line. The horizontal line continues straight left or right.
Thus, the slope of a horizontal line is 0. Considering the previous image, we can see that the y-coordinates of all the points on a horizontal line are the same.
Here x is absent. It means that the x-coordinate can be anything whereas the y-coordinate of all the points on the line must be 'b' only. The y-intercept of the horizontal line is 0, b. Considering the previous image points a,b : 2, -3 , 1, -3 , -2, -3 We can see that the y-coordinate of all these points is constant, which is The horizontal line test is used to determine whether a function is a one-to-one function.
According to the horizontal line test, a function is NOT one-to-one if there exists a horizontal line that passes through more than one point of the graph of the function. In other words, in a one-to-one function, there is only one unique x-value for every y-value. In this sense, the horizontal line acts like a line in the sand, where moving above the line is bullish. Both these terms could refer to the same thing: drawn lines on a chart.
While a horizontal line is specifically horizontal, a trendline is typically angled and drawn along rising swing lows during a price uptrend or drawn along dropping swing highs during a downtrend. A horizontal line is not an actual barrier for price. It is a technical tool which may help traders determine whether they should be more bearish or bullish. Where a horizontal line is drawn is subjective. Not all traders may place the horizontal line at the same price. At highly important prices, where a horizontal line may be drawn, it is possible the price will whipsaw around it.
This could cause confusion or some potential losing trades until the price makes a more decisive move above or below the line. Technical Analysis Basic Education.
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