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

Write An Equation For The Relationship Shown In The Table M 0 2 3 N 03 37 5 class=

Sagot :

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

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