The SneakerRama Company makes and sells sneakers. They have one linear function that represents the cost of producing sneakers and another linear function that models how much income they get from those sneakers. Describe the key features that would determine if these linear functions ever intercepted.

Let

y1 = kx1 + m be linear function that represents cost of producing sneakers.

x1 is a variable while k and m are parameters (constants)

let

y2 = px2 + q represents income they get from selling those sneakers.

Same as in first equation (but with different index) x2 represents some selling variable while p and q are parameters.

In order for those linear functions to ever intercept is that p IS NOT equal to k

p≠k

p and k represent "slope" of those linear functions and if they are same that means that functions are parallel to each other and will never intercept.

parameters q and m are just starting constants. they represent initial cost of starting production or inicial income before starting to sell sneakers.