First, we need to find the slope (m) of the line by using the coordinates of the two points given in the graph. The formula for slope is:
m = (y2 - y1) / (x2 - x1)
Where (x1, y1) = (1, 4) and (x2, y2) = (2, 8).
m = (8 - 4) / (2 - 1)
m = 4 / 1
m = 4
Now that we have the slope, we can formulate the equation of the line. Since the line passes through the origin (0, 0), the equation is in the form y = mx:
y = 4x
Therefore, the equation of the line y = 4x through the origin represents the proportional relationship shown in the graph.
Find the equation of the line y=mx through the origin that describes the proportional relationship shown in the graph.
(points being 1,4 and 2,8)
1 answer