the graph shows the 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 formula for the slope of a line, which is given by:

m = (rise)/(run) = (change in y)/(change in x)

Since the line passes through the origin, the point (0,0) is on the line. Therefore, the change in y and change in x is the same as the y-coordinate and x-coordinate of any other point on the line.

Let's consider another point on the line, (x,y). Using the slope formula, we get:

m = (y-0)/(x-0) = y/x

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

y = mx