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.
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.
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.
In algebra, the point-slope form of an equation for a line is written as y - y1 = m(x - x1). The variables y1 and x1 equal the values of the given point, and m equals the slope.
To find the equation of a line given the slope and a single point, you need to use the point-slope form of y - y1 = m(x - x1). It is almost identical to the slope-intercept form, but you have to find the point for the y-intercept.
The equation for determining the net force acting on an object is F = ma, or force equals mass times acceleration. Net force is measured in terms of acceleration, which means a change in velocity. If there is no change in velocity, the net force is considered to be zero.
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
The equation to calculate a free-falling object's velocity or time spent falling is velocity equals gravitational acceleration multiplied by time. This occurs if three conditions are given: an initial velocity of zero, a hypothetical infinite space to fall in and negligible air resistance.
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.