Answer: A. y = 2x
Step-by-step explanation: You can figure out the relationship between the x and y coordinates on the graph by imagining a line that runs through the given points and then figuring out the equation of the line in slope-intercept form by following the format of y=mx+b. "y" represents the output, "m" represents the slope (vertical change compared to the horizontal change), "x" represents the input, and "b" represents the y-intercept (where the line crosses the y-axis). Since the line is increasing, the slope is going to be positive. To get from the point at (0, 0) to the point at (2, 4), you go 4 units up and 2 units to the right; therefore, the value of "m" (slope) is 2, which is just the simplified version of 4/2. Since the line crosses the y-axis at (0, 0), the value of "b" is 0. With this information, the slope-intercept equation is y=2x+0. You can disregard the 0 in the equation since it does not have any affect on the graph since it holds no value. Now, the final equation is y=2x.
