Question

The points (6,13), (21,33) and (99,137)The equation of the line is y=4/3x+5(True or False)

Answer 1

Given the equation of the line:

`y=(4)/(3)x+5`

And given the points ( 6 , 13 ) , ( 21 , 33 ) and ( 99 , 137 )

We need to check if the line passes through the points or not

So, substitute with the x - coordinates with each point and find y

so,

for the point ( 6 , 13 )

when x = 6

`y=(4)/(3)\cdot6+5=13`

The point is true

For the point ( 21 , 33 )

when x = 21

`y=(4)/(3)\cdot21+5=4\cdot7+5=28+5=33`

The point is true

For the point ( 99 , 137 )

When x = 99

`y=(4)/(3)\cdot99+5=4\cdot33+5=132+5=137`

The point is true

So, the answer is True