We are given the following equation in the point-slope form.
[tex]y-4=-2(x-1)[/tex]
Recall that the general form of the equation in point-slope form is given by
[tex]y-y_1=m(x-x_1)[/tex]
Comparing the given equation with the point-slope form, we have
m = -2
Point = (1, 4)
Recall that the slope is given by
[tex]m=\frac{\text{rise}}{\text{run}}=\frac{-2}{1}[/tex]
Start at point (1, 4) then 2 units down and 1 unit to the right.
As you can see, we started at the point (1, 4) then sketched other points by going 2 units down and 1 unit to the right.
