Lines that are parrellell presume to have the same slope.
So if we just calculate the slope of a function or a line we should be good.
[tex]s=\dfrac{\Delta{y}}{\Delta{x}}=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
Now put in the data from the coordinates of the points [tex]A(3,-1)\wedge B(1,7)[/tex]
[tex]s=\dfrac{7-(-1)}{1-3}=\dfrac{8}{-2}=\underline{-4}[/tex]
The form of a function now looks like: [tex]
f(x)\vee y=-4x+n[/tex]
From here we are no longer required to calculate anything more. Leave n alone.
The solutions are the equations of the form above.
That would mean:
[tex]
y=-4x \\
y=-4x+8 \\
y+1=-4(x+1) \\
y-6=-4(x-3)
[/tex]
Hope this helps.
