Is this correct.

Graph each of the following inequalities.

4x + y (greater than or equal to) 4

My answer:
y= -4x + 4

Y= mx + b
For b = (0,4)
For x = (-4 , 0)

The line will be a straight line across the positive codent to the negative crodant

In the first case, you have the line location right, but the area where the inequality is valid is also anywhere above the line. You might want to show that area as shaded.

In the second case, I do not understand why they are specifying two values of b and x. You cannot graph the lines unless you know what the slope, m, is. Are those pairs of numbers supposed to be points through which a y = mx + b line passes?

yes