To be able to confidently and competently perform simple and complex equations of horizontal and vertical lines, it’s important to first understand the key difference between horizontal lines and vertical lines.
Better yet you’ll also discover how to use the slope intercept equation among a few different formulas, that you may use on a regular basis.
A guide to understanding horizontal and vertical lines:
The definition of a horizontal line:A horizontal line will go straight from left to right and a common example of a horizontal line is a far horizon, in the distance. Horizontal lines are said to be horizontal to the horizon. Horizontal lines will also never cross each other and so if you come across two lines that cross each other at a given point, the line which you’re looking at won’t be a horizontal line.
If you’re wondering why it’s important to learn about horizontal lines and to use horizontal lines to perform equations, the simple answer is that vertical lines will help you accurately determine if there is a relation which is a maths function.
How does a vertical line differ to a horizontal line:
A vertical line, simply goes from top to bottom. All the points on a vertical line will share the exact same x co-ordinate. A vertical line also differs from a horizontal line as unlike a horizontal line which features a slope, a vertical line doesn’t have a slope. So the slope of a horizontal line will always be written down in formulaic equations as being zero.
Equations of horizontal lines:
One of the easiest formulas which you should start off with, is the the intercept equation which will help you find the value of a slope. The slope intercept equation is simply y=mx+ b, m=0. However, if b value = your y co-ordinate of your y intercept, you’ll need to use the equation y = b.
Remember that as your y value will always have the same value, -1, the equation which you should use for your given examples y= -1.
Next up, it’s a great idea to try using the one to one test. Which is as follows, if a horizontal line crosses a function in a graph more than once, then the horizontal line in question is not a one to one function.
Equations of vertical lines:
The very first equation which you should use which involves a vertical line is the formula ofvertical lines, which is fairly straight forward and easy to understand. In an example equation a vertical line is given the expression x = k. Next, you may be interested in learning how to conduct a vertical line test. Which is also a pretty straight forward equation to solve.
In order to solve a vertical line test, start off by solving the equation y = f (x). Once you’re able to solve the equations listed above, you should have no trouble taking on more complex equations that feature horizontal lines and vertical lines. So if you’re ready to get to work start of with solving the slope intercept equation shown above!