Use the graph to answer the question, (1, 5), (2, 10)

Question

The graph shows proportional relationship. Derive the equation of the line y = mx through the origin

Answer 1

To find the equation of the line y = mx through the origin, we can use the slope formula:

m = (y2 - y1) / (x2 - x1)

Given points (1, 5) and (2, 10):

m = (10 - 5) / (2 - 1)
m = 5 / 1
m = 5

Therefore, the equation of the line y = mx through the origin is:

y = 5x