If f is a function such that lim f(x)-f(a)/x-a = 5, then which of the following statements must be true? (see photo for answers and clearer function)

That is the first choice.

f(x) - f(a) / x - a is the slope of the line joining any point (x,, f(x) to the point wher x = a.

As x gets closer and closer to a, x - a approaches 0 until at the limit the slope at the point where x = a equals the tangent at this point.

in problems involving proportions, we can use cross products to test whether two ratios are equal and form a proportion. to find the cross products of a proportion, we multiply the outer terms, called the extremes, and the middle terms, called the means.

hope it