In general, we would say 'For an equation y=b, the point (0,b) is the y-intercept of that graph'. CCSS.Math: HSF.IF.C.7, HSF.IF.C.7a, HSF.LE.A.2.

courses that prepare you to earn x = 2 this is the equation of a vertical line that passes through all points with x coordinate equal to 2. y = 0 this is the equation of a horizontal line that passes through all points with y coordinate equal to 0 (x axis). When the slope is undefined then the line is vertical.

The slope of a line is the steepness of the line.

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- Definition & Examples, Symmetrical Balance in Art: Definition & Examples, What are Parallel Lines? We, of course, can not divide by zero, so the example of trying to simplify to the point-slope form was a ridiculous exercise. What Are Horizontal Lines? Your email address will not be published. Labeling your coordinate points with. It's a horizontal line! - Definition, Methods & Examples, What are 2D Shapes?

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Find the Horizontal Line Through the Point (1,9) Every point on a horizontal line has the same y-value. Save my name, email, and website in this browser for the next time I comment. $$\begin{align} &Ax + By = C &\text{general equation of a line} \\[1em] &By = -Ax + C &\text{subtract Ax from both sides} \\[1em] &y = \frac{-A}{B}x + \frac{C}{B} &\text{divide both sides by B, now in point-slope form} \\[1em] &&\text{if the slope is equal to zero, that implies }\frac{-A}{B}=0 \\[1em] &y=\frac{C}{B} &\text{equation of a horizontal line} \end{align} $$The above shows the simplification of the general equation of a line to one where the slope is equal to zero.

Enrolling in a course lets you earn progress by passing quizzes and exams. Log in here for access. What is the equation of a horizontal line passing through the point (2, 10)? {{courseNav.course.topics.length}} chapters | Remember that vertical lines only have an 'x' value and no 'y' value. What Are the NGSS Performance Expectations?

What is the equation of a horizontal line passing through the point (1, 14)? - Definition & Examples, What is Regrouping in Math? - Definition & Examples, Solid Figures: Definition, Properties & Examples, What is a Cuboid Shape? All points on a horizontal line have the same y value. Horizontal lines are readily found all around us. It was included to show how weird an undefined slope in a linear equation is.

Study.com has thousands of articles about every The equation of a horizontal line is y=b where b is the y-value of every point on the line and the value of the y-intercept of the horizontal line. A vertical line has a slope that is undefined. We can determine that any equation where y is equal to a constant represents a vertical line when graphed. What we can determine is that any equation where x is equal to a constant represents a horizontal line when graphed. It is important that you subtract both the x and y values in the same order. Slope, labeled with the variable m, is defined as rise/run or (change in y value)/(change in x value). lessons in math, English, science, history, and more. Log in or sign up to add this lesson to a Custom Course. It is a perpendicular line to the y-axis of the graph.

Lessons Lessons. You could be walking across the tenth floor of a high-rise. Email. Look at a wall, and look down to where that wall meets the floor.

In fact, the word horizontal is derived from the word horizon, the line where the sky meets water. Betty has a master's degree in mathematics and 10 years experience teaching college mathematics. Find the x-coordinates of the point(s) on the graph of the function f(x) = 1/(x^2 - 4x) where the tangent line is horizontal. Try refreshing the page, or contact customer support. The equation of a horizontal line is then in the form. Professional Actor or Actress: How Do I Start a Career in Acting? flashcard set{{course.flashcardSetCoun > 1 ? If the ending position is at the same height as the beginning position, a line drawn through the two points will be horizontal.

These questions will be investigated here. Know why it's called the horizon? Practice: Horizontal & vertical lines . Forensic Scientist: How Do I Start a Career in Forensic Science? Remembering this idea for all horizontal lines may make it easier to graph one. James Lowman is an applied mathematician currently working on a Ph.D. in the field of computational fluid dynamics at the University of Waterloo.

Examples. In this equation, the rise (change in y value) represents a vertical movement and the run (change in x) value represents a horizontal movement. Let us examine why they are like that.

Horizontal & vertical lines. Google Classroom Facebook Twitter. y = 0x + b which is the same as y = b, where b is the y-intercept. succeed. And just like the horizon, horizontal lines go straight left and right. When a slope is equal to zero, the line is horizontal. Your vertical position has not changed. credit by exam that is accepted by over 1,500 colleges and universities. Know why it's called the horizon? - Definition & Examples, What is Subtraction in Math? It doesn't matter where you start. Not sure what college you want to attend yet? Ever look at the horizon when the sun is rising or setting?

Then draw a straight line left and right that goes through the point, and you're done!

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