Question

According to the graph, what is the value of the constant in the equation below?A.2B.0.667C.3D.1.5

Answer 1

- The constant being asked for is the slope of the graph.

- The formula for finding the slope of a graph is:

`\begin{gathered} m=(y_2-y_1)/(x_2-x_1) \\ where, \\ (x_1,y_1)\text{ and }(x_2,y_2)\text{ are the points on the line} \end{gathered}`

- The points on the graph that we will use are:

`\begin{gathered} (x_1,y_1)=(2,3) \\ (x_2,y_2)=(4,6) \end{gathered}`

- Thus, we can find the constant as follows:

`\begin{gathered} m=(6-3)/(4-2) \\ \\ m=(3)/(2)=1.5 \end{gathered}`

Final Answer

The constant(slope) is 1.5 (OPTION D)