![]() ![]() I've discovered there may be some sort of linear relationship between two time periods (P1 and P2), and I'd like to show it on a graph and I'm seeking help in that regard. I've assumed my problem is not typical and I'm searching for a clue, any clue. "My question may not seem mathematical in nature, but here goes: mechanics and auto technicians are stumped trying to find the problem with my car engine that results in the check engine light being ON all the time. "Can't we plot parametric equations in this plotter? Thank you for making Transum free and available on the internet. I find it mesmerizing that an equation can give amazing results. When writing the equation, cos(x²)=sin(y²) the following graph is plotted. For now, I love plotting them even though I don't understand them well. When I know more about Trigonometry I will understand why these graphs are the way they look. Although I don't understand much about trigonometric graphs, I have plotted some trigonometric graphs with beautiful patterns. I am very thankful for Transum and through this, my passion for math has increased. "Hello, I am Soumi Dana, currently studying in 8th grade. Unfortunately it only plots the positive answer to the square root so the circles would not plot. "Absoultely brilliant got my kids really engaged with graphs. "First of all, congratulations for the beautiful job! But I have a question: is there a way to save/download the graphics? thus adjusting the coordinates and the equation. "Would be great if we could adjust the graph via grabbing it and placing it where we want too. "It would be nice to be able to draw lines between the table points in the Graph Plotter rather than just the points. For non-linear functions, the rate of change of a curve varies, and the derivative of a function at a given point is the rate of change of the function, represented by the slope of the line tangent to the curve at that point.Last day before half term yr 8 were using Graph Plotter to attempt the challenges - all were successful /uzNjAszZxs- Heather Scott October 22, 2017 While this is beyond the scope of this calculator, aside from its basic linear use, the concept of a slope is important in differential calculus. Given the points (3,4) and (6,8) find the slope of the line, the distance between the two points, and the angle of incline: m = Given two points, it is possible to find θ using the following equation: The above equation is the Pythagorean theorem at its root, where the hypotenuse d has already been solved for, and the other two sides of the triangle are determined by subtracting the two x and y values given by two points. Refer to the Triangle Calculator for more detail on the Pythagorean theorem as well as how to calculate the angle of incline θ provided in the calculator above. Since Δx and Δy form a right triangle, it is possible to calculate d using the Pythagorean theorem. It can also be seen that Δx and Δy are line segments that form a right triangle with hypotenuse d, with d being the distance between the points (x 1, y 1) and (x 2, y 2). ![]() In the equation above, y 2 - y 1 = Δy, or vertical change, while x 2 - x 1 = Δx, or horizontal change, as shown in the graph provided. The slope is represented mathematically as: m = In the case of a road, the "rise" is the change in altitude, while the "run" is the difference in distance between two fixed points, as long as the distance for the measurement is not large enough that the earth's curvature should be considered as a factor. Slope is essentially the change in height over the change in horizontal distance, and is often referred to as "rise over run." It has applications in gradients in geography as well as civil engineering, such as the building of roads. A vertical line has an undefined slope, since it would result in a fraction with 0 as the denominator.A line has a constant slope, and is horizontal when m = 0.A line is decreasing, and goes downwards from left to right when m A line is increasing, and goes upwards from left to right when m > 0.Given m, it is possible to determine the direction of the line that m describes based on its sign and value: The larger the value is, the steeper the line. Generally, a line's steepness is measured by the absolute value of its slope, m. Slope, sometimes referred to as gradient in mathematics, is a number that measures the steepness and direction of a line, or a section of a line connecting two points, and is usually denoted by m. ![]()
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