Question

YALL NEVER ANSWER AH POOP plz help

True or false: The points (6,13), (21,33), and (99, 137) all lie on the same line. The equation of the line is y = 4/3x + 5. A.True B.False

Answer 1

The given point A (6,13) lies on the equation. True

The given point B(21,33) lies on the equation. True

The given point C (99, 137) lies on the equation. True

Explanation:

Here, the given equation is :
`y =(4)/(3) x + 5`

Now,check the given equation for the given points.

1) A (6,13)

Substitute x = 6 in the given equation
`y =(4)/(3) x + 5`

`y =(4)/(3) (6) + 5  = 4(2) + 5  = 8 + 5 =  13`

⇒ y= 13

Hence, the given point A (6,13) lies on the equation.

2) B (21,33)

Substitute x = 21 in the given equation
`y =(4)/(3) x + 5`

`y =(4)/(3) (21) + 5  = 4(7) + 5  = 28 + 5 =  33`

⇒ y = 33

Hence, the given point B(21,33) lies on the equation.

3) C (99, 137)

Substitute x = 99 in the given equation
`y =(4)/(3) x + 5`

`y =(4)/(3) (99) + 5  = 4(33) + 5  = 132 + 5 =  137`

⇒ y = 137

Hence, the given point C (99, 137) lies on the equation.