find value of m if the point ( 7 , -3) is on graph equation (y - 3 / 7) = m ( x-2/7) ?

Dear Student,

Please find below the solution to the asked query:

We have equation : $\left( y - \frac{3}{7} \right) = m\left(x - \frac{2}{7} \right)$ And point ( 7 , - 3 ) is on given line , So

We substitute x  = 7  and y  = - 3 in given equation and get

$$\begin{gathered} \left(- 3 - \frac{3}{7} \right) = m\left(7 - \frac{2}{7} \right) \\ \Rightarrow \left(\frac{- 21 - 3}{7} \right) = m\left(\frac{49 - 2}{7} \right) \\ \Rightarrow \left(-\frac{24}{7} \right) = m\left(\frac{47}{7} \right) \\ \Rightarrow m = -\frac{24}{7} \times \frac{7}{47} \\ \mathbf{\Rightarrow }\mathit{m}\mathbf{ }\mathbf{=}\mathbf{ }\mathbf{-}\frac{\mathbf{24}}{\mathbf{47}}\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{(}\mathbf{ }\mathbf{Ans}\mathbf{ }\mathbf{)} \end{gathered}$$
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