Final answer:
To solve the equation 2x + 4y = 4 and plot it on a graph, rearrange the equation to solve for y, choose values for x, calculate the corresponding values for y, and plot the points on a graph.
Step-by-step explanation:
To solve the equation 2x + 4y = 4, we need to rearrange it to solve for either x or y. Let's solve for y:
2x + 4y = 4
4y = 4 - 2x
y = (4 - 2x) / 4
This is the equation of a line. We can plot it on a graph by choosing values for x and calculating the corresponding values for y. For example, if we choose x = 0, the equation becomes:
y = (4 - 2(0)) / 4
y = 4/4
y = 1
So, one point on the graph is (0, 1).
We can choose more values for x and calculate the corresponding values for y to get additional points. Once we have enough points, we can plot them on a graph and connect them to get the line.