Question

1) If the point (2,-7) lies on the line 4x+my=22 then what will be the value of
m?

Answer 1

       $\underline{\bold{Solution:}}$

       $\text{It is given that }(2,-7) \text{ lies on the line }4x + my = 22$

       $\text{We know that, if a point lies on a line, the point is a solution of the line.}$

$\implies 4(2) + m(-7) = 22$

       $\text{Simplifying...}$

$\implies 8 - 7m = 22$

       $\text{Transposing 8 to R.H.S}$

$\implies -7m = 22 - 8$

       $\text{Simplifying...}$

$\implies -7m = 14$

       $\text{Transposing 7 to R.H.S}$

$\implies m = \dfrac{14}{-7}$

       $\text{Simplifying...}$

$\implies \boxed{m = -2}$