Answer:
y-9=-3(x-1)
Explanation:
The point-slope form of the equation of a line is derived using the formula below:
[tex]y-y_1=m(x-x_1)[/tex]For a line that passes through the point (1,9) and has a slope of -3, we have:
[tex]m=-3,x_1=1,y_1=9[/tex]We substitute these into the equation given above to get the equation:
[tex]y-9=-3(x-1)[/tex]