Answer:
Step-by-step explanation:
(-3,14) ; (6 , -1)
x₁ = -3 ; y₁ = 14
x₂ = 6 ; y₂ = -1
[tex]Slope = \dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\\\=\dfrac{-1-14}{6-[-3]}\\\\\\=\dfrac{-15}{6+3}\\\\=\dfrac{-15}{9}\\\\\\m=\dfrac{-5}{3}[/tex]
Slope intercept form: y = mx +b
y = (-5/3)x + b
Plugin x = -3 and y = 14
[tex]14 = \dfrac{-5}{3}*(-3)+b\\\\14=5+b\\\\\\14 -5 = b\\\\b = 9[/tex]
Slope intercept form:
[tex]y=\dfrac{-5}{3}x +9[/tex]
