Ialso need an in depth explanation, not just the answer. i want to understand how to do these types of problems. how do you know which side to shade? how do you know how to graph inequalities? you! will reward the most to be the brainliest!

The correct answer option is C. y<= -4x + 25.

Step-by-step explanation:

Firstly, we will find out the equation of the line with the help of using two points (0, 25) and (-6, 49).

The slope (m) = .

We know the standard form of the equation is so the y-intercept (c) can be found by putting in the values of the slope and the coordinates of a point.

Therefore, the equation of the line is y = -4x + 25.

Now since the inequality is dealing with the value of y and we know that the values of y go vertically (up and down). So if we look at the graph, the shaded area includes the smaller values of y and the line is a solid one.

Therefore, the inequality will be y<= -4x + 25.

If you don't understand it this way, you can pick up a point and test the inequality.

Taking the easiest point (0, 0) to check.

0 <= -4 (0) + 25

0 <= 25 --- True

the answer is a

step-by-step explanation: