Question

I really need help with thisGraph y - 4 = -2(x-1)

Answer 1

We are given the following equation in the point-slope form.

$y-4=-2(x-1)$

Recall that the general form of the equation in point-slope form is given by

$y-y_1=m(x-x_1)$

Comparing the given equation with the point-slope form, we have

m = -2

Point = (1, 4)

Recall that the slope is given by

$m=\frac{\text{rise}}{\text{run}}=\frac{-2}{1}$

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.