Answer:
y= - [tex]\frac{10}{3}[/tex]x - 23
Step-by-step explanation:
Find the slope of the line first by using the equation: y₂-y₁/x₂-x₁
slope = m = -3 - 7/-6 -(-9)
m= -10/3= -[tex]\frac{10}{3}[/tex]
Use point slop form to find b: m(x-x₁)=y-y₁
-[tex]\frac{10}{3}[/tex](x-(-9))=y-7
Then solve for y to have the equation of the line in slope intercept form
-[tex]\frac{10}{3}[/tex]x - 30=y-7
y= -[tex]\frac{10}{3}[/tex]x-23
