How does vertical look

The slope of a vertical line is undefined! This video by Sarah Messing shows how to find the standard form of a horizontal or vertical line given a point. It's a constant. This time the x-coordinate is always constant. Horizontal lines have varying x-values, but a constant y-value. In other words, the y-value is not dependent on any x-value In this equation, a is the fixed value that y must take, despite the varying x-values.

Vertical lines have varying y-values, but a constant x-value. In this equation, b is the fixed value that x must take, despite the varying y-values. The equation of a horizontal line has a y coefficient of 0. The equation of a vertical line has an x coefficient of 0. Algebra 1 Standard Form of Linear Equation. Go to Topic. Explanations 3.

Representing Horizontal and Vertical Lines with Standard Form First, take a look at the Cartesian Coordinate system and think about this: How do we specify a horizontal or vertical line? As you drag the points above, notice that the slope indicator goes away when the line is exactly vertical.

Notice that the equation is independent of y. Any point on the vertical line satisfies the equation. Fig 1. Is the line vertical? Determine if the line shown in Fig 1 is vertical and write its equation. 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.

My change in y over change in x. Doesn't matter what my change in x is. My change in y is always going to be zero. It's constant. So the slope here is going to be equal to zero.

Y doesn't change, no matter how much you change x. This is fun. So now they are asking us, what is the slope of the line x equals negative three? Let me graph that one. So, I'm just going to draw my axis real fast. X-axis y-axis X is equal to negative three.