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

Answer 1

B on edg2020

[3/3+5] (-14 -2) +2

Answer 2

Option B.

Explanation:

The given formula is

`x=(m)/(m+n)(x_2-x_1)+x_1`

It is given that a line segment 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. It means

`m=4`

`n=1`

`x_1=-8`

`x_2=12`

Substitute these values in the given formula.

`x=(4)/(4+1)(12-(-8))+(-8)`

Therefore, the correct option is B.