Given two values for the input,\(x_{1} {\rm \; and\; }x_{2}\), and two corresponding values for the output, \(y_{1} {\rm \; and\; }y_{2}\), or a set of points, \((x_{1} {\rm ,\; \; }y_{1} )\) and\((x_...Given two values for the input,\(x_{1} {\rm \; and\; }x_{2}\), and two corresponding values for the output, \(y_{1} {\rm \; and\; }y_{2}\), or a set of points, \((x_{1} {\rm ,\; \; }y_{1} )\) and\((x_{2} {\rm ,\; \; }y_{2} )\), if we wish to find a linear function that contains both points we can calculate the rate of change, m:
Given two values for the input,\(x_{1} {\rm \; and\; }x_{2}\), and two corresponding values for the output, \(y_{1} {\rm \; and\; }y_{2}\), or a set of points, \((x_{1} {\rm ,\; \; }y_{1} )\) and\((x_...Given two values for the input,\(x_{1} {\rm \; and\; }x_{2}\), and two corresponding values for the output, \(y_{1} {\rm \; and\; }y_{2}\), or a set of points, \((x_{1} {\rm ,\; \; }y_{1} )\) and\((x_{2} {\rm ,\; \; }y_{2} )\), if we wish to find a linear function that contains both points we can calculate the rate of change, m: