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 $y-4=2(x-3)$ has: $m=2$ $(3, 4)$ is a point on the line. To graph this equation, perform the following steps: (1) Plot the point $(3, 4)$. (2) Use the slope to plot another point on the line. From $(3, 4)$ move 2 units up (the rise) and 1 unit to the right (the run) to reach $(4, 6)$. Plot $(4, 6)$. (3) Connect the two points using a line.