Find the equation of the line y=mx through the
origin that describes the proportional relationship
shown in the graph.
The graph shows, a dot is at the top right over 3 next to 9, other dot is top right over 2 next to 6, and the other dot is top right over 1 next to 3.
The proportional relationship shown in the graph suggests that the value of y is directly proportional to the value of x. Thus, we can express the relationship as y = kx, where k is the constant of proportionality.
Let's find the value of k using the first data point (3, 9). Plugging these values into the equation y = kx, we get 9 = 3k.
Solving for k:
9 = 3k
k = 9/3
k = 3
Now that we have the value of k, we can write the equation for the line through the origin:
y = 3x
Therefore, the equation of the line y = mx through the origin that describes the given proportional relationship is y = 3x.