Final answer:
To draw the graph of the equation 2x+y=6, rearrange the equation to solve for y, plot points on a coordinate plane, and connect them with a straight line. The graph cuts the x-axis at the point (3, 0).
Step-by-step explanation:
To draw the graph of the equation 2x+y=6, we need to solve for y in terms of x and then plot the points on a coordinate plane. Let's rearrange the equation to solve for y: y=6-2x. Now, we can choose different values for x and find the corresponding values of y. For example, when x=0, y=6, and when x=3, y=0. These points (0, 6) and (3, 0) lie on the graph. Next, we can connect the two points with a straight line, which represents the graph of the equation 2x+y=6.
The graph cuts the x-axis at the point where y=0. By substituting y=0 into the equation, we can find the value of x. Solving 2x+0=6, we get 2x=6 and x=3. Therefore, the coordinate of the point where the graph cuts the x-axis is (3, 0).
Learn more about Graphing linear equations