Question

On a number line, the directed line segment from Q to S has endpoints Q at –8 and S at 12. Point R partitions the directed line segment from Q to S in a 4:1 ratio. Which expression correctly uses the formula (StartFraction m Over m + n EndFraction) (x 2 minus x 1) + x 1 to find the location of point R?

Answer 1

Answer:

The point R located at 8.

Step-by-step explanation:

The directed line segment from Q to S has endpoints Q at –8 and S at 12.

Point R partitions the directed line segment from Q to S in a 4:1 ratio.

The given formula is  

$\dfrac{m}{m+n}(x_2-x_1)+x_1$

Substitute $m=4,n=1,x_1=-8,x_2=12$ in the above formula.

$R=\dfrac{4}{4+1}(12-(-8))+(-8)$

$R=\dfrac{4}{5}(20)-8$

$R=16-8$

$R=8$

Therefore, the point R located at 8.

Answer 2

Answer:

On a number line, the directed line segment from Q to S has endpoints Q at –8 and S at 12. Point R partitions the directed line segment from Q to S in a 4:1 ratio.

Which expression correctly uses the formula (StartFraction m Over m + n EndFraction) (x 2 minus x 1) + x 1 to find the location of point R?

1.) (StartFraction 1 Over 1 + 4 EndFraction) (12 minus (negative 8)) + (negative 8)

2.) (StartFraction 4 Over 4 + 1 EndFraction) (12 minus (negative 8)) + (negative 8)

3.) (StartFraction 4 Over 4 + 1 EndFraction) (negative 8 minus 12) + 12

4.) (StartFraction 4 Over 1 + 4 EndFraction) (negative 8 minus 12) + 12

Step-by-step explanation:

The second answer is the Right Answer