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.