Which of these equations represent straight line graphs?
As long as x doesn’t have a power other than 1, the graphs will be linear. This rules out e right away. In a, rearranging the equation to get x and y on opposite sides gives y = 5 – x. The power of x is 1, so it is linear. In b, getting x to the other side results in y = 5/x. In this case, if x is written without a fraction, it will be x^-1. Since this is not the same as x to the power of 1, the graph will not be linear. In c, x is above the line and has a power of 1. That makes it linear. D is the same as b, only written differently. Therefore, A and C are the only ones that will give a line.
