y=8-, x=2

Question

y=4-,1

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

Answer 1

To find the equation of the line y = mx through the origin, we need to determine the value of m.

The slope (m) of a line passing through two points (x1, y1) and (x2, y2) is given by the formula:

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

Using the points (2, 8) and (1, 4), we can calculate the slope:

m = (4 - 8) / (1 - 2) = -4

Therefore, the equation of the line through the origin is:

y = -4x