Answer: y ≤ -4x - 1.
Explanation:
Hello!
The first thing you know is that since the shaded region is to the (left) or below the line, you will have to use the symbol for equal to or less than (≤). If the line was a dotted line, then you would use the symbol (<). If the line was a dotted line and the shaded region was above or to the right of the line, then you would use the symbol (>). If the line was a regular line like in the picture and the shaded region was to the right of the line instead of to the left like in the picture, then you would use the symbol (≥).
Secondly, you know that the y-intercept is -1 and the slope is -4 using the equation (y2 - y1)/(x2 - x1) with the coordinates (0, -1) and (1, -5). Substitute this information into the slope formula, y = mx + b.
y = -4x + (-1) or y = -4x - 1
You now have the equation:
y = -4x - 1. Use the sign you figured out earlier for the equation in place of the equal sign. Here is what the final equation should look like:
y ≤ -4x - 1.