Write an equation that gives the proportional relationship of the graph. a) y = 1 8 x b) y = 8x c) y = 9x d) y = 72x

Here graph of an equation given.

The co-ordinates in the graph given are (0,0), (9,72), (18,144), (36,288), (45,360).

(0,0) point means, for x =0, y=0

(9,72) point means, for x =9, y=72

(18,144) means, for x =18, y=72

(36,288) means, for x = 36, y=288

(45,360) means, for x = 45, y =360.

We know that, , , , , ,

That means in each point, y value is 8 times the x value.

That means, we can write the equation as which also shows the proportional relationship of the graph.

So we have got the required answer.

The required equation is .

y=mx+b is the final answer!   : )