Another term to represent Unit Rate is? Constant of Proportionality
Slope
Rate of Change All of the Above
None of the Above

All of the above.

Step-by-step explanation:

In a graph, the unit rate gives us the change in y for a unit change in x. That is, the unit rate is the rate of change in y when the change in x is 1.

Therefore, the unit rate is the same as the rate of change.

And the rate of change is synonymous with the slope.

The constant of proportionality is simply the slope/rate of change for proportional equations.

Therefore, the constant of proportionality is also another word for the unit rate.

Our answer is hence all of the above.

{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