2. Then add heat. After 24 hours, use heat to dilate the blood vessels and improve circulation in the area. Warm compresses will help speed up the bodys natural mechanisms for removing the blood in the bruise, says Randy Wexler, M.D.
where k is the constant of variation. Since k is constant (the same for every point), we can find k when given any point by dividing the y-coordinate by the x-coordinate. For example, if y varies directly as x , and y = 6 when x = 2 , the constant of variation is k = = 3 . Thus, the equation describing this direct variation is y = 3x .
Linear Functions and Equations. Linear functions are functions that have x as the input variable, and x has an exponent of only 1. Such functions look like the ones in the graphic to the left. Notice that x has an exponent of 1 in each equation. Functions such as these yield graphs that are straight lines, and, thus, the name linear. Linear functions come in three main forms. An explanation and animation are available for each by clicking the links below. A very common way to express a linear function is named the 'slope-intercept form' of a linear function.