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
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
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
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
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
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
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
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
Formula Used to calculate: The average of a set of nonzero values using the reciprocals of those values. — What Is the Harmonic Mean Formula? The harmonic mean formula calculates a type of average by taking the reciprocal of the arithmetic mean of the reciprocals of the values. It is particularly useful for averaging rates … Read more
Formula Used to calculate: The average of a set of positive values based on their product rather than their sum. — What Is The Geometric Mean Formula? The geometric mean formula calculates a type of average by multiplying all values in a data set and taking the nth root of the product, where n is … Read more