Rectangle rstu has vertices on the coordinate plane. if the slope of rs = -3 and the slope of st = 1/3 , then rs is to st .

we know that

if two lines are perpendicular the product of their slopes is equal to -1

so

m1*m2=-1

mRS=-3

mST=1/3

mRS*mST=(-3)*(1/3)> -1

Hence

RS is perpendicular to ST

the answer is

RS is perpendicular to ST

option c) graph of line going through 1, 4 and 3, 10

step-by-step explanation:

let y equal to margo's coin collection

let x equal to number of years

at the begining x=0, y=1 → point=(x,y)→point=(0,1)

she adds 3 coins per year, then y=1+3x

at x=1, y=1+3(1)=1+3→y=4→point=(x,y)→point=(1,4)

at x=3, y=1+3(3)=1+9→y=10→point=(x,y)→point=(3,10)

the graph of line going through (1, 4) and (3, 10), then the option c is the correct.