First we need to define this equation using point slope form.
Point slope form is represented by the following (x₁ and y₁ represent the given points, and m represents slope)
[tex]Y-Y_1 = m(X-X_1)[/tex]
So if we plug in our values, we get
[tex]Y-1 = 1(X-8)\\Y-1 = X-8[/tex]
Now, in order to get it into slope-intercept form, we must isolate the Y value
[tex]Y-1 = X-8\\Y= X-7[/tex]
So the equation is
Y = X-7
