The Midpoint Formula

Formula Used to calculate: The coordinates of the point exactly halfway between two points in a two-dimensional Cartesian coordinate plane. — What Is the Midpoint Formula? The midpoint formula calculates the coordinates of the point halfway between two endpoints of a line segment. It finds the arithmetic mean of the two x-coordinates and the arithmetic … Read more

The Distance Formula

Formula Used to calculate: The straight-line distance between two points in a two-dimensional Cartesian coordinate plane. — What Is the Distance Formula? The distance formula calculates the straight-line distance between two points using their x- and y-coordinates. It is derived from the Pythagorean theorem by treating the horizontal and vertical differences between the points as … Read more

The Y-Intercept Formula

Formula Used to calculate: The y-coordinate where a nonvertical line written in slope-intercept form crosses the y-axis. — What Is the Y-Intercept Formula? The y-intercept identifies the point where a line crosses the y-axis. At the y-intercept, the x-coordinate equals zero. For a line written in slope-intercept form, setting x=0 gives y=b, so the y-intercept … Read more

The X-Intercept Formula

Formula Used to calculate: The x-coordinate where a nonvertical linear equation in slope-intercept form crosses the x-axis. — What Is the X-Intercept Formula? The x-intercept formula finds the point where a line crosses the x-axis. At an x-intercept, the y-coordinate equals zero. For a line written in slope-intercept form, setting y=0 and solving for x … Read more

The Point-Slope Form Formula

Formula Used to calculate: A linear equation from the slope of a line and the coordinates of a known point on the line. — What Is the Point-Slope Form Formula? The point-slope form is a way to represent a straight line using its slope and the coordinates of one known point on the line. It … Read more

The Slope-Intercept Form Formula

Formula Used to calculate: The value of y on a straight line from its slope, y-intercept, and x-coordinate. — What Is the Slope-Intercept Form Formula? The slope-intercept form is a way to represent a nonvertical linear equation using the line’s slope and y-intercept. The coefficient of x gives the slope of the line, while the … Read more

The Slope Formula

Formula Used to calculate: The slope of a nonvertical line from the coordinates of two distinct points on the line. — What Is the Slope Formula? The slope formula calculates the rate of change of a line using two points on that line. It compares the change in the vertical coordinate, or rise, with the … Read more

The Scientific Notation Formula

Formula Used to calculate: A compact representation of very large or very small numbers using a coefficient and a power of ten. — What Is the Scientific Notation Formula? Scientific notation expresses a nonzero number as the product of a coefficient and an integer power of ten. In normalized scientific notation, the absolute value of … Read more

The Markup Formula

Formula Used to calculate: The amount added to the cost of an item to determine its selling price. — What Is the Markup Formula? The markup formula calculates the difference between an item’s selling price and its cost. Markup represents the amount added above cost and can be expressed as a monetary amount or as … Read more

The Discount Formula

Formula Used to calculate: The amount by which an original price is reduced when a percentage discount is applied. — What Is the Discount Formula? The discount formula calculates the amount subtracted from an original price when a percentage discount is applied. The discount amount can then be subtracted from the original price to determine … Read more