What is the amplitude of the sinusoidal function m(x)= -3.5 cos x

Amplitude = 3.5

Step-by-step explanation:

The amplitude of a sinusoidal function is one-half of the positive difference between the maximum and minimum values of a function.

Given the cosine function

The maximum and the minimum values of the function   are 1 and -1, so the maximum and the minimum values of the function are 3.5 and -3.5.

Positive difference:

Half of the difference:

x=-2

infinite number of lines, so there is an infinite number of equations.

step-by-step explanation:

there are an infinite number of line that passes through the point (-2,5)

x=-2   is one line that passes through the point

y = 5 is another line that passes through the point

(these two lines are perpendicular to each other).

since the number of   numbers are infinite and the slope is the ratio of two numbers,(change in y over change in x) we can have an infinite number of slopes.     our only condition is that it passes through the point (-2,5)