Question

true or false: the points (6, 13), and (21, 33) and (99, 137) all lie on the same line. th equation of the lines is y + /3x + 5. explain or show your reasoning.

Answer 1

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

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

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

The equation that was given was y = 4/3x + 5

Now,check the given equation for the given points.

1) A (6,13)

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

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

y=13

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

2) B (21,33)

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

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

y = 33

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

3) C (99, 137)

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

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

y = 137

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

There is your answer