14. two cars are traveling on two different roads that are perpendicular to each other. on a coordinate
map, the first car started from the point (-5,-8) and stopped at (2,7). the second car started from (5,1)
and stopped at (10.y).
the y-coordinate of the second car is

-68/7

Step-by-step explanation:

slope1 of Car 1 that pass (-5,-8) (2,7)

= (y1-y2)/(x1-x2)=(2-(-5))/(7-(-8))=7/15

Slope2 of car 2 that pass (5,1) (10,y)

slope 1 and slope2 are perpendicular =>slope 2 =-15/7

make slope2 y=(-15/7)x+b

for it pass(5,1) => 1=(-15/7)5+b =>b=82/7 => y=(-15/7)x+82/7

put (10,y) in => y=(-15/7) 10+82/7=-68/7

answer: the area of the parallelogram below is 42 square meters.

- officialprodixy ☕