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.

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.)

{x = -1/2 ,   y = -1

step-by-step explanation:

solve the following system:

{2 x + y = -2

{10 x - 3 y = -2

in the first equation, look to solve for y:

{2 x + y = -2

{10 x - 3 y = -2

subtract 2 x from both sides:

{y = -2 x - 2

{10 x - 3 y = -2

substitute y = -2 x - 2 into the second equation:

{y = -2 x - 2

{10 x - 3 (-2 x - 2) = -2

10 x - 3 (-2 x - 2) = (6 x + 6) + 10 x = 16 x + 6:

{y = -2 x - 2

{16 x + 6 = -2

in the second equation, look to solve for x:

{y = -2 x - 2

{16 x + 6 = -2

subtract 6 from both sides:

{y = -2 x - 2

{16 x = -8

divide both sides by 16:

{y = -2 x - 2

{x = -1/2

substitute x = -1/2 into the first equation:

{y = -1

{x = -1/2

collect results in alphabetical order:

answer:   {x = -1/2 ,   y = -1

answer: 8

step-by-step explanation: if you add the possibilities 5 different flavor and 3 different sizes 5+3=8