Question

Can you help me understand the shaded graph and how to right the points on the graph as equations

Answer 1

To know which graph is it, we have to calculate the straight-line equation, preferably with the form:

`y=mx+b`

where m is the slope and b is the y-intercept.

As we have the inequality:

`3y-9\le6x`

We have to isolate y:

0. Adding 9 to both sides of the equation.

`3y-9+9\le6x+9`
`3y\le6x+9`

2. Dividing both sides of the equation against 3:

`(3y)/(3)\le(6x+9)/(3)`
`y\le2x+3`

Then, we have the y-intercept which is (0, 3). Additionally, with the inequality sign, we can see that it includes all the y values below or equal that equation, meaning that a continuous line will be placed (instead of a discontinuous).

Answer: A.