Question

Find the equation of the line y=mx through the origin that describes the proportional relationship shown in the graph

Answer 1

The equation of a line through the origin is of the form y = mx, where m is the slope of the line.

In this case, we need to find the slope of the line that describes the proportional relationship shown in the graph. To do this, we can choose two points on the line and calculate the slope using the formula:

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

Let's choose the points (0,0) and (1, m) on the line:

m = (m - 0) / (1 - 0)
m = m / 1
m = m

Since m is the slope of the line, we can conclude that the slope is equal to m.

Therefore, the equation of the line is y = mx.