Question

which table of ordered pairs represents a line that has a slope that is the same as the slope of the line represented by the equation y=2x + 1?

Answer 1

From the above options, the only table that have the same slope as the given line in the equation (m=2) is Table C.

`\begin{gathered} m=(3-\mleft(-7\mright))/(4-(-1)) \\ m=(10)/(5) \\ m=2 \end{gathered}`

Step-by-step explanation:

Given the equation;

`y=2x+1`

The slope of the above line is;

`m=2`

From the given options, let us find the table that has the same slope as the above equation;

A.

`\begin{gathered} m=(y_2-y_1)/(x_2-x_1) \\ m=(-8-7)/(3-(-2)) \\ m=(-15)/(5) \\ m=-3 \end{gathered}`

B.

`\begin{gathered} m=(4-2)/(2-(-2)) \\ m=(2)/(4) \\ m=(1)/(2) \end{gathered}`

C.

`\begin{gathered} m=(3-\mleft(-7\mright))/(4-(-1)) \\ m=(10)/(5) \\ m=2 \end{gathered}`

D.

`\begin{gathered} m=(-1-2)/(4-(-2)) \\ m=(-3)/(6) \\ m=-(1)/(2) \end{gathered}`

From the above options, the only table that have the same slope as the given line (m=2) is Table C.

`\begin{gathered} m=(3-\mleft(-7\mright))/(4-(-1)) \\ m=(10)/(5) \\ m=2 \end{gathered}`