Question

Y = mx +c is an equation of line passing through (2, 1) and perpendicular to the line x+3y =7. Find m and c​

Answer 1

Dear student
$$\begin{gathered} \text{The slope of the given line is}\frac{-1}{3}.\mathrm{Since}\mathrm{the}\mathrm{required}\mathrm{line}\mathrm{is}\mathrm{prependicular} \\ \mathrm{to}\mathrm{the}\mathrm{given}\mathrm{line}.\mathrm{So},\mathrm{the}\mathrm{slope}\mathrm{of}\mathrm{the}\mathrm{required}\mathrm{line}\mathrm{is}3.\mathrm{As}\mathrm{it}\mathrm{passes}\mathrm{through} \\ \left(2,1\right).\mathrm{So},\mathrm{its}\mathrm{equation}\mathrm{is} \\ \mathrm{y}-1=3\left(\mathrm{x}-2\right)\Rightarrow \mathrm{y}=3\mathrm{x}-5 \\ \mathrm{So},\mathrm{m}=3\mathrm{and}\mathrm{c}=-5 \end{gathered}$$
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