What is the criterion of the function that passes through (-5,-3) and (-7,-1)?

The criterion of a function that passes through two points can be found using the formula for the slope of a line, which is given by: $$m = \frac{y_2 - y_1}{x_2 - x_1}$$ where $(x_1, y_1)$ and $(x_2, y_2)$ are the coordinates of the two points. In this case, the two points are (-5,-3) and (-7,-1). So, we can substitute these values into the formula to find the slope: $$m = \frac{-1 - (-3)}{-7 - (-5)} = \frac{2}{-2} = -1$$ Once we have the slope, we can use the point-slope form of a line to find the equation of the line: $$y - y_1 = m(x - x_1)$$ Substituting $m = -1$, $x_1 = -5$, and $y_1 = -3$ into this equation gives: $$y - (-3) = -1(x - (-5))$$ Simplifying this equation gives the criterion of the function: $$y = -x - 2$$