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# Horizontal and Vertical Lines

By this point, we all know the definitions of vertical and horizontal lines. One moves up and down while the other moves left and right. But there is much more to learn about horizontal and vertical lines, especially when we examine their properties on a plane. Let's take a closer look at these properties:

## Equations of horizontal and vertical lines

Equations of horizontal and vertical lines have only one variable.
For example,
$x=4$
. This equation shows us that x is always 4, and that the
variable y can
be *any *value. Let's see what this looks like on a
graph:

As we can see, $x=4$ forms a vertical line. Every ordered pair with 4 as its first coordinate is a possible solution, and this forms a straight line. $\left(4,y\right)$

Now let's take a look at a horizontal line:

$y=(-3)$

We know that the y coordinate must equal (-3), but we can substitute any value we want for x. What do we get? Take a look:

Any ordered pair that has a -3 for the y coordinate is plotted on this graph: (x,-3).

Just for fun, let's put both of these lines together to find the point at which they intersect:

Finding this intersecting point is easy with a graph -- but we don't necessarily need to go through the trouble of drawing out the coordinates. Instead, we can simply combine both of the known coordinates to get $\left(4,-3\right)$ .

## Topics related to the Horizontal and Vertical Lines

Finding the Equation of a Line from Its Graph

## Flashcards covering the Horizontal and Vertical Lines

Common Core: 8th Grade Math Flashcards

## Practice tests covering the Horizontal and Vertical Lines

MAP 8th Grade Math Practice Tests

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Vertical and horizontal lines might seem simple, but they're important foundational concepts that students must build upon as they progress into more difficult concepts. Tutors can help students establish a sense of confidence in these early concepts, allowing them to draw upon their knowledge more easily. During tutoring sessions, students can ask numerous questions. Tutors can patiently explain concepts in many different ways until students get that "aha" moment. We carefully vet and interview each tutor before they begin sessions, so your student is always working alongside a genuine math pro. Remember, tutoring can be effective for students of all ability levels. Even advanced students can benefit from extra challenges and fun exercises that keep them engaged and motivated. Reach out to Varsity Tutors today, and we'll match your student with a suitable tutor.

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