Question

WRITE AN EQUATION TO DESCRIBE THE RELATIONSHIP BETWEEN J AND Mj | 4 | 12 | 20m | 3 | 9 | 15

Answer 1

First, we can use the points (4,3) and (20,15) to find the slope of the line:

`\begin{gathered} s=(m_2─m_1)/(j_2─j_1)=(15─3)/(20─4)=(12)/(16)=(3)/(4) \\ s=(3)/(4) \end{gathered}`

Now we can find the relation function using the point (4,3) and the slope s=3/4

`\begin{gathered} m─m_1=s(j─j_1) \\ \Rightarrow m─3=(3)/(4)(j─4)=(3)/(4)j─((12)/(4))=(3)/(4)j─3 \\ m=(3)/(4)j \end{gathered}`

therefore, the equation to describe the relationship between J and M is m=3/4j