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

Step 1
State point-slope formula of a line
[tex]\begin{gathered} n-n_1=\frac{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}[/tex]Step 2
Find the equation for the relationship
[tex]\begin{gathered} n-3.7=\frac{5.7-3.7}{3-2}(m-2) \\ n-3.7=\frac{2}{1}(m-2) \\ n=2m-4+3.7 \\ n=2m-0.3 \end{gathered}[/tex]Hence the relationship is;
n = 2m - 0.3