Which of the following points is collinear with (2, 1) and (3, 3)? O (0,0)
O (1,-1)
O (4,4)
O(-1,-2)
HELP

O (1,-1)  is collinear with (2, 1) and (3, 3).

Step-by-step explanation:

equation of line in point slope form is

y-y1/x-x1 = m

where m is the slope of line

slope of line is given by

m = (y2-y1)/(x2-x1)

where(x1,x2) and (y1,y2) are points on the given line

Given point

(2, 1) and (3, 3)?

m = 3-1/3-2 = 2

Equation of line

y-1/x-2 = 2

=> y-1 = 2(x-2)

=> y-1 = 2x-4

=> y= 2x-4+1

=> y = 2x-3

col-linear points are one which lie on the same line

To solve the problem we will check which  of the given points satisfy the equation of line derived above.

y = 2x-3

(0,0)

if we put value of x = 0 the above equation we should get y =0

y = 2*0 -3 = -3

since -3 is not equal to 0, hence (0,0) is not collinear with  (2, 1) and (3, 3).

1,-1

y = 2*1 -3 = -1

since -1 is  equal to -1, hence (1,-1) is collinear with  (2, 1) and (3, 3).

(4,4)

y = 2*4-3 = 5

since 5 is not equal to 4 , hence (4,4) is not collinear with  (2, 1) and (3, 3).

(-1,2)

y = 2*-1 -3 = -5

since -5 is not equal to 2, hence (-1,2) is not collinear with  (2, 1) and (3, 3).

Hence answer is O (1,-1)  s collinear with (2, 1) and (3, 3).

(2,20) means that the 2 is 2 hours and 20 is 20$. so there both 20$ for 2 hours only the same price. like it says. so, the dunk tank and the bounce house are the same price (20$) for the same amount of time (2 hours).

hope i

5=812a+9+3

step 1: simplify both sides of the equation.

5=812a+9+3

5=(812a)+(9+3)(combine like terms)

5=812a+12

5=812a+12

step 2: flip the equation.

812a+12=5

step 3: subtract 12 from both sides.

812a+12−12=5−12

812a=−7

step 4: divide both sides by 812.

812a /812 = -7/812

a= -1/116

so the answer is

a=   -1/116