[tex]\text{Given that,}\\\\(x_1,y_1) = (-3,7)~~ \text{and}~~(x_2,y_2) =(3,3)\\\\\\\text{Slope, }~~ m =\dfrac{y_2-y_1}{x_2 - x_1}= \dfrac{3-7}{3-(-3)} = -\dfrac{4}{3+3} = -\dfrac 46 = -\dfrac 23\\\\\\\text{Equation with given points ,}\\\\y- y_1 = m(x-x_1)\\\\\implies y -7 = -\dfrac 23 (x +3)\\\\\implies y -7= -\dfrac 23 x - 2\\\\\implies y = -\dfrac 23 x -2 +7 \\\\\implies y = -\dfrac 23 x +5\\\\\implies 3y = -2x +15 \\\\\implies 2x +3y = 15[/tex]
