Answer:
y = 5x - 7
Step-by-step explanation:
(x₁ , y₁) = ( 2 , 3) & (x₂ , y₂) = (-1 , -12)
Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex]=\frac{-12-2}{-1-2}\\\\=\frac{-15}{-3}\\\\=5[/tex]
m = 5 & (x₁ , y₁) = ( 2 , 3)
Equation of the line: y - y₁ = m(x -x₁)
y - 3 = 5(x - 2)
y - 3 =5x - 2*5
y - 3 = 5x - 10
y = 5x - 10 + 3
y = 5x - 7