Question

Write an equation that gives the proportional relationship of the graph.

A) y = 1/7x

B) y = 7x

C) y = 8x

D) y = 56x

Answer 1

y = 7x

Explanation:

We need to find the slope

We have two points (0,0) and (8,56)

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

= (56-0)/( 8-0)

= 56/8

= 7

The proportional relationship is

y= kx where k is the slope

y = 7x

Answer 2

B) y = 7x

Explanation:

Start with:

`m=(y_2-y_1)/(x_2-x_1)`

Substitute in two points from the graph.

(Let's use (8,56) & (16,112)

`m=(112-56)/(16-8)`

Combine like terms.

`m=(56)/(8)`

Simplify.

`m=7x`