Algebra 1 Lesson 56 58 Part 1 Direct Variation Lcm Youtube Direct variation, lcm. Join me as i show you how to identify a direct variation (proportional) relationships and solve problems that involve direct variation. my name is lauren cas.
Algebra 1 Direct Variation This algebra video provides a basic introduction into direct variation. it explains how to find y given x when y varies directly with x. it also explains h. If you add a y intercept and change y=2x to, for example, y=2x 2, the x and the y will no longer be related by a constant ratio. if x is 1, y will be 4. if x is 2, y will be 6. though x has increased by a factor of 2, y has not. therefore, y=2x 2 is not direct variation. the same goes for inverse variation. A direct variation is given by an equation of the form y = kx, where k is a nonzero constant, called the constant of variation. the graph of a direct variation is a straight line with slope k and passing through the origin. you can solve problems involving direct variation when you are given values satisfied by the direct variation and asked to. Example 1: solve each direct variation problem. if y varies directly with x and y = 12 when x = 4, find y when x = 7. step 1) write the variation equation: k = y x. k = y x step 2) substitute in for the given values and find the value of k: at the beginning of the problem, we are told that y = 12, when x = 4.
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