5/17/2023 0 Comments Gradient formula![]() ![]() Using the equation y = 3x - 6, set x=0 to find the y-intercept. It is the point where the line crosses the y axis. The y-intercept of a line is the value of y when x=0. Slope is the coefficient of x so in this case slope = 3 This is slope intercept form, y = 3x - 6. ![]() ![]() You want to get y by itself on one side of the equation, so you need to divide both sides by 2 to get y = 3x - 6.Subtract 12 from both sides of the equation to get 6x - 12 = 2y.Add 2y to both sides to get 6x = 12 2y.Your goal is to get the equation into slope intercept format y = mx b You have the equation of a line, 6x - 2y = 12, and you need to find the slope. If you have the equation for a line you can put it into slope intercept form. Slope intercept form y = 7x - 9 becomes 7x - y = 9 written in standard form. Subtract y from both sides of the equation to get 7x - y - 9 = 0Īdd 9 to both sides of the equation to get 7x - y = 9 Note that the equation should not include fractions or decimals, and the x coefficient should only be positive. Stochastic GD, Batch GD, Mini-Batch GD is also discussed in this article. Gradient Descent with Momentum and Nesterov Accelerated Gradient Descent are advanced versions of Gradient Descent. Use either the point slope form or slope intercept form equation and work out the math to rearrange the equation into standard form. To derive the formula for gradient, we consider any right-angled triangle formed from A(x1 y1) and B(x2 y2) with hypotenuse AB as shown in the diagram below. The gradient formula is a way of expressing the change in height using the y coordinates divided by the change in width using the x coordinates. The gradient of a line is calculated by dividing the difference in the (y)-coordinates by the difference in the (x)-coordinates. Gradient Descent is an optimizing algorithm used in Machine/ Deep Learning algorithms. You may also see standard form written as Ax By C = 0 in some references. Find the difference between the y coordinates, Δy is change in y.Here you need to know the coordinates of 2 points on a line, (x 1, y 1) and (x 2, y 2). Determine fracture pressure, psi:psi F x D Determine maximum mud density, ppg: ppg F - 0.052 Example: Casing setting depth 12,000 ft Formation pore pressure 12.0 ppg Determine S/D from chart depth 12,000 ft S/D 0.96 psi/ft Pf/D 12.0 ppg x 0.052 0. If it decreases when moving from the upper left to lower right, then the gradient is negative.\\ Determine fracture gradient using above equation. If the graph of the line moves from lower left to upper right it is increasing and is therefore positive. The sign in front of the gradient provided by the slope calculator indicates whether the line is increasing, decreasing, constant or undefined. You can also use the distance calculator to compute which side of a triangle is the longest, which helps determine which sides must form a right angle if the triangle is right. The computations for this can be done by hand or by using the right triangle calculator. If any two sides of a triangle have slopes that multiply to equal -1, then the triangle is a right triangle. The slopes of lines are important in determining whether or not a triangle is a right triangle. This can be obtained using the midpoint calculator or by simply taking the average of each x-coordinates and the average of the y-coordinates to form a new coordinate. The midpoint is an important concept in geometry, particularly when inscribing a polygon inside another polygon with its vertices touching the midpoint of the sides of the larger polygon. Just as slope can be calculated using the endpoints of a segment, the midpoint can also be calculated. ![]()
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