Graph the proportional relationship y=2x by plotting points.

Answer 1

To graph the proportional relationship y=2x, we can plot multiple points on the coordinate plane and connect them to form a straight line.

Let's choose some values for x and calculate the corresponding values for y:

When x=0, y=2(0)=0
When x=1, y=2(1)=2
When x=2, y=2(2)=4
When x=3, y=2(3)=6

Plotting these points on the coordinate plane and connecting them with a straight line, we get the graph of the proportional relationship y=2x:

(0,0), (1,2), (2,4), (3,6)

The graph shows a straight line passing through the origin (0,0) with a slope of 2. This indicates a proportional relationship where y is always twice the value of x.