Answer:
Step-by-step explanation:
(x₁, y₁) = (-3 , 4) and (x₂,y₂) = (2, -11)
[tex]Slope = \dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex]=\dfrac{-11-4}{2-[-3]}\\\\=\dfrac{-15}{2+3}\\\\=\dfrac{-15}{5}\\\\=-3[/tex]
Equation of the line: y =mx +b
y = -3x + b
Plugin x = -3 and y =4 in the above equation,
4 = -3*(-3) + b
4 = 9 + b
4 -9 = b
b = -5
Equation : y = -3x - 5
