graph from slope intercept form calculator

This equation provides valuable information about the line it represents: In simpler terms, it's the value of $$$y $$$ when $$$x $$$ is zero. This is the point where the line crosses the y-axis. In geometric terms, the slope represents the rise over the run, or how much $$$y $$$ changes per unit change in $$$x $$$. It defines the rate of change of $$$y $$$ with respect to $$$x $$$. $$$x $$$ is the independent variable, typically representing the horizontal coordinate.$$$y $$$ is the dependent variable, typically representing the vertical coordinate.The slope-intercept form of the equation is given by the following formula: It is one of the most commonly used linear equations because of its straightforwardness in expressing both the slope of the line and its y-intercept. The slope-intercept form is a special form of the equation of a straight line. Once processed, the calculator will display the slope of the line formed by your two points, as well as the x-intercept, the y-intercept and the equation of the line. Repeat this step for your second point.Īfter ensuring your points are accurately inputted, click the 'Calculate' button to initiate the computation process. Start by entering the coordinates of your first point into the designated fields. How to Use the Slope-Intercept Form Calculator with Two Points? It is ideal for students, educators, or math fans. In addition, this tool also shows basic information about the line. Discover our Slope Intercept Form calculator, specially designed to quickly deliver the slope-intercept equation using two points. Textbook content produced by OpenStax is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike License. We recommend using aĪuthors: Gilbert Strang, Edwin “Jed” Herman Use the information below to generate a citation. Then you must include on every digital page view the following attribution: If you are redistributing all or part of this book in a digital format, Then you must include on every physical page the following attribution: If you are redistributing all or part of this book in a print format, Want to cite, share, or modify this book? This book uses theĬreative Commons Attribution-NonCommercial-ShareAlike License This book may not be used in the training of large language models or otherwise be ingested into large language models or generative AI offerings without OpenStax's permission. Consider the plane curve defined by the parametric equations

We start by asking how to calculate the slope of a line tangent to a parametric curve at a point. Furthermore, we should be able to calculate just how far that ball has traveled as a function of time. If the position of the baseball is represented by the plane curve ( x ( t ), y ( t ) ), ( x ( t ), y ( t ) ), then we should be able to use calculus to find the speed of the ball at any given time. For example, if we know a parameterization of a given curve, is it possible to calculate the slope of a tangent line to the curve? How about the arc length of the curve? Or the area under the curve?Īnother scenario: Suppose we would like to represent the location of a baseball after the ball leaves a pitcher’s hand. Now that we have introduced the concept of a parameterized curve, our next step is to learn how to work with this concept in the context of calculus. 7.2.4 Apply the formula for surface area to a volume generated by a parametric curve.7.2.3 Use the equation for arc length of a parametric curve.7.2.2 Find the area under a parametric curve.7.2.1 Determine derivatives and equations of tangents for parametric curves.

Graph from slope intercept form calculator