horizontal line equation

A zero slope is easy to account for because it implies \(A=0\) in the general equation of a line. $$\begin{align} &Ax + By = C &\text{general equation of a line} \\[1em] &By = -Ax + C &\text{subtract Ax from both sides} \\[1em] &y = \frac{-A}{B}x + \frac{C}{B} &\text{divide both sides by B, now in point-slope form} \\[1em] &&\text{if the slope is equal to zero, that implies }\frac{-A}{B}=0 \\[1em] &y=\frac{C}{B} &\text{equation of a horizontal line} \end{align} $$The above shows the simplification of the general equation of a line to one where the slope is equal to zero. Again, note that from left to right, the line does not rise or fall. - Definition & Equations, Introduction to Geometric Figures: Help and Review, Triangles, Theorems and Proofs: Help and Review, Parallel Lines and Polygons: Help and Review, Circular Arcs and Circles: Help and Review, Introduction to Trigonometry: Help and Review, Common Core Math Grade 8 - Functions: Standards, CSET Math Subtest I (211): Practice & Study Guide, CSET Math Subtest III (213): Practice & Study Guide, Common Core Math - Geometry: High School Standards, Math Review for Teachers: Study Guide & Help, SAT Subject Test Mathematics Level 1: Practice and Study Guide, TExES Mathematics 7-12 (235): Practice & Study Guide, Using Exponential & Logarithmic Functions to Solve Finance Problems, Applying Dimensional Analysis to Derive Units, Formulas & Solutions, Postulates & Theorems in Math: Definition & Applications, Approximating Real World Objects with Geometric Shapes, Geometric & Algebraic Representations of Vectors, Quiz & Worksheet - Graphing Absolute Value Dilations & Reflections, Quiz & Worksheet - Transformations & Absolute Value Graphs, Quiz & Worksheet - Solving Absolute Value Equations, Quiz & Worksheet - Absolute Value Practice Problems, Exponents and Polynomials: Help and Review, CPA Subtest IV - Regulation (REG): Study Guide & Practice, CPA Subtest III - Financial Accounting & Reporting (FAR): Study Guide & Practice, ANCC Family Nurse Practitioner: Study Guide & Practice, The Role of Economic Institutions & Governments In the Economy, Top 20 K-6/8 School Districts for Teachers in Massachusetts, Coronavirus Education Trends: Learning Pods, Microschools and Zutors, College Student's Guide for Minimizing & Managing School Stress During COVID-19, Top 50 K-12 School Districts for Teachers in Massachusetts, History & Its Relationship to Other Academic Disciplines, Wide-Area Wireless Communication: Microwave, Satellite, 3G, 4G & WiMAX, No Taxation without Representation: Meaning & Explanation, Euthenics & Euphenics: Definitions & Examples, Contingencies & Commitments Documentation: Recognition & Disclosure Requirements, Kansas Real Estate Commission: Investigations, Hearings & Appeals, Quiz & Worksheet - Characteristic & Continuous X-Rays, Quiz & Worksheet - Native American Reparations, Quiz & Worksheet - Defining History in Academia, Flashcards - Real Estate Marketing Basics, Flashcards - Promotional Marketing in Real Estate, High School Trigonometry: Homeschool Curriculum, Evaluate Point of View: CCSS.ELA-Literacy.SL.11-12.3, Quiz & Worksheet - Use Limits to Calculate the Derivative, Quiz & Worksheet - Julio-Claudian Emperors, Quiz & Worksheet - Maslow's Hierarchy of Needs, Virginia and Kentucky Resolutions: Definition & Summary, Kelly DiPucchio's Life & Books: Lesson for Kids. Another way to think of a horizontal line is one that has the same height at all points on the line. What Are Horizontal Lines? Then draw a straight line left and right that goes through the point, and you're done! Services. We can determine that any equation where y is equal to a constant represents a vertical line when graphed. Lessons Lessons. In the case where the slope is undefined because it is divided by zero, the initial general form of the equation with \(B=0\) is the correct method to find a vertical line.$$ x = \frac{C}{A} $$The above is the simplification if we had just continued from \(B=0\).

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