The graph shows the proportional relationship, derive the equation of the line y = mx through the origin (1,5) and (2,10)

Answer 1

Let's find the slope (m) using the given points (1,5) and (2,10):

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

Now that we have the slope, the equation of the line through the origin is:

y = mx

Substitute m = 5:

y = 5x

So, the equation of the line passing through the origin and the points (1,5) and (2,10) is y = 5x.