Directions – Identify the key components, then write a system of inequalities for the graph. (6 points) Line 1 (red) b = m = inequality: Line 2 (blue) b = m = inequality:

Answer 1

To write a system of inequalities for the graph, we need to identify the key components of Line 1 (red) and Line 2 (blue).

Line 1 (red): Here, we are given that "b = m." This implies that the y-intercept (b) and slope (m) of the line are equal. Without any specific values, we cannot determine the exact equation of the line. Hence, let's represent the equation of Line 1 as "y = mx + b1" and the inequality as "y ≥ mx + b1".

Line 2 (blue): Similarly, we are given that "b = m." So, the y-intercept (b) and slope (m) of the line are equal. Assuming the equation of Line 2 as "y = mx + b2," the inequality can be written as "y ≤ mx + b2".

Therefore, the system of inequalities for the graph is:
1) y ≥ mx + b1 (for Line 1)
2) y ≤ mx + b2 (for Line 2)