Question

Is the statement true or false?The points (2,5) and (0,0) lie on the graph of 4x – 3y = 0.Is the statement true or false?O TrueO False

Answer 1

Given the points (2, 5) and (0, 0)

To determine if the points lie on the graph of

`4x-3y=0`

For point (2, 5)

Where x = 2

`\begin{gathered} 4x-3y=0 \\ 4(2)-3y=0 \\ 8-3y=0 \\ 3y=8 \\ \text{Divide both sides by 3} \\ (3y)/(3)=(8)/(3) \\ y=2(2)/(3) \end{gathered}`

Where y = 5

`\begin{gathered} 4x-3y=0 \\ 4x-3(5)=0 \\ 4x-15=0 \\ 4x=15 \\ \text{Divide both sides by 4} \\ (4x)/(4)=(15)/(4) \\ x=3(3)/(4) \end{gathered}`

From the deduction, point (2, 5) doesn't lie on the graph of 4x-3y=0

For point (0, 0)

Where x = 0

`\begin{gathered} 4x-3y=0 \\ 4(x)-3y=0 \\ -3y=0 \\ y=0 \end{gathered}`

Where y = 0

`\begin{gathered} 4x-3y=0 \\ 4x-3(0)=0 \\ 4x=0 \\ x=0 \end{gathered}`

From the deduction, point (0, 0) lie on the graph of 4x-3y=0

Since, only one of the points (0, 0) lie on the graph,

Hence, the statement is false.