Ok, we have this, replacing this point and the slope in the equation:
[tex](y-1)=-\frac{6}{5}(x-1)[/tex]With this equation we are going to find the points replacing "x" to (2,3,4)
So, x=2:
[tex]y-1=-\frac{6}{5}(2-1)[/tex][tex]y-1=-\frac{6}{5}(1)[/tex][tex]y-1=-\frac{6}{5}[/tex][tex]y=-\frac{6}{5}+1[/tex][tex]y=-\frac{1}{5}[/tex]This mean that the second point is B: (2, -1/5)
x=3:
[tex]y-1=-\frac{6}{5}(3-1)[/tex][tex]y-1=-\frac{6}{5}(2)[/tex][tex]y-1=-\frac{12}{5}[/tex][tex]y=-\frac{12}{5}+1[/tex][tex]y=-\frac{7}{5}[/tex]
This mean that the third point is C: (3, -7/5)
x=4:
[tex]y-1=-\frac{6}{5}(4-1)[/tex][tex]y-1=-\frac{6}{5}(3)[/tex][tex]y-1=-\frac{18}{5}[/tex][tex]y=-\frac{18}{5}+1[/tex][tex]y=-\frac{13}{5}[/tex]This mean that the fourth point is D: (4, -13/5)
Graphing this:
