The endpoints of a line segment are located at (–3, –4) and (–15, –20). what are the coordinates of the midpoint of the line segment? a. (–10.5, –14) b. (–9, –12) c. (–7.5, –10) d. (–6, –8)

Answer B:  (-9, -12)

Step-by-step explanation:

I like to approach this problem by finding the halfway points in the x-direction and the y-direction, separately.

x-direction:  find the average of -3 and -15, which is -18/2, or -9.  The x-coordinate of the midpoint is therefore -9.

y- direction:  find the average of -4 and -20, which is -12.

Thus, the midpoint is located at (-9, -12)   (Answer B)

step-by-step explanation:

always plug in x. in this case, x equals 4.

i'm going to first solve 4(2+3x)

1) 4(2+3(4)) use pemdas to solve.

i'm going to multiply whats in the parenthesis first, so 3 times 4=12.

2)4 (2+12) i'm then going to multiply 4 by both numbers in the parenthesis (because multiplying comes before adding)

4 times 2= 8.   4 times 12= 48

4) (8+48)= 56 (answer)

i'm then going to solve 8+12x and plug in 4 for x.

1) 8 +12(4)

multiplying comes before adding, so i'm gonna multiply 12 and 4.

12 times 4= 48.

2) 8+48=56

both equal the same!