Question

Which equation has (1,1),(2,4),(3,7) and (4,10) as solutions?A)y=2x - 1.B)y= 2x+3.C)y=3x-2.D)y=3x+1.

Answer 1

y=3x-2

Step-by-step explanation:

The equation that has the given solutions is the equation that satisfies all the given (x, y) pairs.

From the given options:

`\begin{gathered} \text{When x=1} \\ y=3x-2 \\ y=3(1)-2=1 \\ \implies(1,1) \end{gathered}`

Likewise:

`\begin{gathered} \text{When x=}2 \\ y=3x-2 \\ y=3(2)-2=4 \\ \implies(2,4) \end{gathered}`

Also when x=3:

`\begin{gathered} y=3\mleft(3\mright)-2=7 \\ \implies(3,7) \end{gathered}`

Finally, when x=4

`\begin{gathered} y=3\mleft(4\mright)-2=10 \\ \implies(4,10) \end{gathered}`

Thus, since y=3x-2 satisfies all four points, it is the right equation.