Which graph represents this system of inequalities?
y ≤-3x- 2
y ≥ 2x + 1
To identify the graph that represents this system of inequalities, we need to consider the slopes and y-intercepts of each inequality.
For the first inequality, y ≤ -3x - 2, we can rewrite it in slope-intercept form: y = -3x - 2. The slope is -3, and the y-intercept is -2.
For the second inequality, y ≥ 2x + 1, we can also rewrite it in slope-intercept form: y = 2x + 1. The slope is 2, and the y-intercept is 1.
Now, let's analyze the options and determine which graph aligns with these characteristics.
Option 1: A graph with a slope of -3 and a y-intercept of -2.
Option 2: A graph with a slope of -3 and a y-intercept of 1.
Option 3: A graph with a slope of 2 and a y-intercept of -2.
Option 4: A graph with a slope of 2 and a y-intercept of 1.
After comparing the options, we can conclude that Option 1 represents this system of inequalities, as it aligns with the slopes and y-intercepts given for both inequalities.