Answer
Refer to the graph below.
Work Step by Step
RECALL:
The point-slope form of a line's equation is given by $y-y_1=m(x-x_1)$ where $m$=slope and $(x_1, y_1)$ is a point on the line.
Thus, the given equation $y-4=-5(x-1)$ has:
$m=-5$
$(1, 4)$ is a point on the line.
To graph this equation, perform the following steps:
(1) Plot the point $(1, 4)$.
(2) Use the slope to plot another point on the line.
From $(1, 4)$ move 5 units down (the rise) and 1 unit to the right (the run) to reach $(2, -1)$. Plot $(2, -1)$.
(3) Connect the two points using a line.
