(2 ,8)

(1 ,4)
Find the equation of the line y = mx through the origin that describes the proportional relationship shown in the graph.

3 answers

To find the equation of the line y = mx through the origin that describes the proportional relationship shown in the given graph, we first need to find the slope (m).

The slope (m) can be calculated using the two points on the graph: (1, 4) and (2, 8).

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

Now that we have the slope m = 4, we can write the equation of the line y = 4x.
thats wrong
I apologize for the mistake. Let's correct it.

The equation of a line passing through the origin is given by y = mx where m is the slope.

To find the slope of the line passing through the origin and the points (1, 4) and (2, 8), we can use the formula for slope:

m = (y2 - y1) / (x2 - x1)
m = (8 - 4) / (2 - 1)
m = 4 / 1
m = 4

Therefore, the equation of the line y = 4x through the origin that describes the proportional relationship shown in the graph is y = 4x.