Write the equation of the line that passes through the points (3, 6) and (5, 18) using function notation. f(x) = 2x 12 f(x) = 6x − 12 y = 2x 12 y = 6x − 12

Step-by-step explanation:

As we move from (3, 6) to (5, 18), x increases by 2 (this is the "run") and y increases by 12 (this is the "rise").

Thus, the slope of this line is m = rise / run = 12 / 2, or m = 1/6.

Apply the slope-intercept form of the equation of a straight line:

y = mx + b becomes 6 = (1/6)(3)  + b after substituting the coordinates 3 and 6.  Then 6  = 1/2 + b, or 5  1/2 = b.

Then the equation of this line is y = (1/6)x + 11/2.

In functional notation, that would be f(x) = (1/6)x + 11/2.

answer: the answer is one of

step-by-step explanation:   we are given to write a proper fraction where the whole is divided into an even number of equal parts less than ten, and an odd number of those parts exist.

an even number less than 10 may be one of 2, 4, 6 or 8. so, the whole may be one of these four evens.

now, an odd number of these parts must exist, so the numerator must be an odd number, one of 1, 3, 5 or 7. it cannot be 9 because then the fraction will become improper.

thus, our fraction may be one of the following