Answer:
[tex]y=-3x+9[/tex]
Step-by-step explanation:
Step 1: Find the slope
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\frac{-9-(-21)}{6 - 10}[/tex]
[tex]m=\frac{12}{-4}[/tex]
[tex]m=-3[/tex]
Step 2: Find the equation
[tex](y-y_1)=m(x-x_1)[/tex]
[tex](y-(-9))=-3(x-6)[/tex]
[tex]y+9=-3x+18[/tex]
[tex]y=-3x+9[/tex]
Answer: [tex]y=-3x+9[/tex]
