Answer:
[tex]y-(9)=(-8)(x-8)\\[/tex]
Step-by-step explanation:
[tex](x_1, y_1) = (8, 9)\\(x_2, y_2) = (9,1)\\[/tex]
Step one: Find the slope (m)
[tex]slope=m=\frac{rise}{run} =\frac{y_2-y_1}{x_2-x_1} = \frac{1-9}{9-8} =\frac{-8}{1} =-8[/tex]
Step two: Plug your known values into the point-slope equation
[tex]m=-8\\y_1=9\\x_1=8\\[/tex]
Point-slope form is [tex]y-y_1=m(x-x_1)[/tex]
[tex]y-(9)=(-8)(x-8)\\[/tex]
If you want to convert point-slope form to general form, isolate for y.
[tex]y-9=-8x+64\\y=-8x+73[/tex]
