Refer to the graph below.
Work Step by Step
Solve for $y$ by subtracting $4x$ to both sides of the equation: $4x+y-4x=3-4x \\y=3-4x \\y=-4x+3$ This means the given equation is equivalent to and has the same graph as $y=-4x+3$. To graph the given equation, perform the following steps: (1) Create a table of values by assigning convenient values to $x$ then solving for the corresponding value of $y$ for each one. (Refer to the table below.) (2) Plot each ordered pair from the table on the same coordinate plane. (Refer to the graph in the answer part above.) (3) Complete the graph by connecting the points using a line. (Refer to the graph in the answer part above.)