Question

Tia lives at the corner of 4th Street and 8th Avenue. Lei lives at the corner of 12th Street and 20th Avenue. The fruit market is Three-fourths the distance from Tia’s home to Lei's home.

x = (StartFraction m Over m + n EndFraction) (x 2 minus x 1) + x 1

y = (StartFraction m Over m + n EndFraction) (y 2 minus y 1) + y 1

Where is the fruit market?

6th Street and 11th Avenue
10th Street and 17th Avenue
9th Street and 15th Avenue
8th Street and 14th Avenue
On a coordinate plane, a graph shows Street on the x-axis and Avenue on the y-axis. A line is drawn from Tia to Lei. Tia is at (4, 8) and Lei is at (12, 20).
T

Answer 1

Compute 3/4 of the vector from Tia (4,8) to Lei (12,20):

x = 4 + (3/4)(12 − 4) = 4 + (3/4)(8) = 4 + 6 = 10
y = 8 + (3/4)(20 − 8) = 8 + (3/4)(12) = 8 + 9 = 17

So the market is at 10th Street and 17th Avenue.