Question

Suppose you were given this table. How would you write the equation of the graph of this relationship? Which statements are true? Select all that apply.

x y
6 3
12 6
18 9
24 12

A.The ratio of x to y is the slope.

B.The ratio of y to x is the slope.

C.The equation of the graph is y = 2x

D. The equation of the graph is y = 1/2x.

Answer 1

b and D

Step-by-step explanation: First divide the y over the x which then you get 1/2 so its B and since you got 1/2 then the equation is y=1/2x

Answer 2

The graph tells you the change in x is 6 and y is 3 meaning the slope is 1/2. setting it up in slope internet form y=(1/2)x + b, and using a point 3=(1/2)(6) + b, and solving for b 3=3 + b, b=0, so your equation is y=(1/2)x. the slope is the change in y over the change in x so the slope is the ratio of y to x (B.) and the equation of the graph is y=(1/2)x (D.)