Question

Write an equation for the relationship shown in the table. m 0 2 3 n 0.3 3.7 5.

Answer 1

Step 1

State point-slope formula of a line

`\begin{gathered} n-n_1=(n_2-n_1)/(m_2-m_1)(m-m_1) \\ \text{where} \\ m_1=2 \\ m_2=3 \\ n_2=5.7 \\ n_1=3.7 \end{gathered}`

Step 2

Find the equation for the relationship

`\begin{gathered} n-3.7=(5.7-3.7)/(3-2)(m-2) \\ n-3.7=(2)/(1)(m-2) \\ n=2m-4+3.7 \\ n=2m-0.3 \end{gathered}`

Hence the relationship is;

n = 2m - 0.3