Which function below has the smallest slope? f(x) f(x) = 2x − 3 g(x) graph going through (0, negative 5) and (4, 3) h(x) x h(x) −1 3 1 7 3 11 f(x) g(x) h(x) the functions all have the same slope

The slope of f(x) is the x-coefficient, 2.

The slope of the other functions can be found by finding ∆y/∆x, the change in function value divided by the change in x value.

Slope of g(x) = (3 - (-5))/(4 - 0) = 8/4 = 2.

Slope of h(x) = (7 - 3)/(1 - (-1)) = 4/2 = 2.

The appropriate choice is

 The functions all have the same slope

graph b

step-by-step explanation:

one solution- graph a (clear intercepting point.)

no solution- graph b (they're parallel, there will never be a point of interception.)

infinite solutions- graph c (all points intercept.)