To find a line's equation, identify two of the points through which the line passes, and then use the "x" and "y" coordinates to find the slope of the line, or the rate at which it climbs or falls. Use the slope to find the line's intersection with the y-axis.
Find the slope of the line (m), and the place where the line crosses the y-axis, known as the y-intercept (b), to write the equation in slope-intercept form, y = mx + b. Use the equation to find the y value for any x on that line.
An equation is a statement declaring that two values are equal. It has an equals sign and expressions on the left and right of the equals sign; the expression on the left and the right are equal.
The way to calculate the equation of a line that includes the points (x,y) and (x1, y1) is to plug them into the equation y - y1 = m(x - x1) and solve for m, the slope of the line. The way to convert this to y = mx + b form is to plug one point and the slope into the same equation and solve for y.
The vector equation of a line is r = a + tb. In this equation, "a" represents the vector position of some point that lies on the line, "b" represents a vector that gives the direction of the line, "r" represents the vector of any general point on the line and "t" represents how much of "b" is needed
To find the equation of a line that is tangent to a curve, you must find a line with the same slope as that point of the curve. This can be done with a graphing calculator that can give the slope at a particular point or by hand using the derivative of a curve function.
To graph a math equation, acquire some graphing paper, draw x and y axes, and decide whether the equation is linear or non-linear. Approach the problem by finding the slope of the linear equation or using a table for a non-linear one.
Find the equation for the tangent line to a curve by finding the derivative of the equation for the curve, then using that equation to find the slope of the tangent line at a given point. Finding the equation for the tangent line requires a knowledge of calculus and the formula for the slope.
The area of any simple shape, such as a circle, triangle or rectangle, can be found by taking a series of measurements from the shape and plugging them into a formula. The necessary formula varies according to the shape but works for all shapes of that type.
A closed figure made up of line segments is called a "polygon." The term "polygon" is derived from the Greek words "poly," which means "many," and "gon," which means "angle."