Answer:
Step-by-step explanation:
[tex]Slope=\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\dfrac{-6-9}{2-4}=\dfrac{-15}{-2}=\dfrac{15}{2}\\\\[/tex]
Equation:
[tex]y -y_{1}=m(x -x{1})\\\\y - 9 = \dfrac{15}{2}(x-4)\\Multiply \ the \ entire \ equation \ by 2\\\\2*(y -9)=2*\dfrac{15}{2}(x-4)[/tex]
2y - 2*9 = 15(x - 4)
2y - 18 = 15x - 60
2y - 18 + 60 = 15x
2y + 42 = 15x
15x - 2y = 42
