Answer
Refer to the graph below.
Work Step by Step
Solve for $y$.
$2x-y=3
\\2x-y-2x=3-2x
\\-y=3-2x
\\-y=-2x+3
\\-1(-y)=-1(-2x+3)
\\y=2x-3$
This means that the given equation is equivalent to, and has the same graph as, $y=2x-3$.
RECALL:
The slope-intercept form of a line's equation is $y=mx+b$ where $m$=slope and $(0, b)$ is the line's y-intercept.
Thus, the equation $y=2x-3$ has a slope of $2$ and a y-intercept of $(0, -3)$.
To graph the given equation, perform the following steps:
(1) Plot the y-intercept $(0, -3)$.
(2) Use the slope to plot a second point. From $(0, -3)$, move 2 units up (the rise) and 1 unit to the right (the run) to reach $(1, -1)$. Plot $(1, -1)$.
(3) Connect the two points using a line to complete the graph.
(Refer to the graph in the answer part above.)
