on a piece of paper graph y < - 2/5 x + 1. then determine which answer choice matches the graph you drew
Based on the inequality y < -2/5 x + 1, let's draw the graph:
First, let's plot the y-intercept, which is 1. This means that the point (0,1) is on the graph.
Next, using the slope of -2/5, we can identify another point on the line. Since the slope is negative, we move down 2 units and to the right 5 units. Starting from the y-intercept (0,1), we move down 2 units and to the right 5 units to locate the point (5, -1).
Now we have two points on the line, (0, 1) and (5, -1). We can plot these points and draw a line passing through them.
The graph represents all the points that are below the line. It should be a dashed line (since it is y < and not y ≤) and slope down from left to right.
Matching the graph with the options provided, it would depend on the options given since we cannot visually analyze the drawings without having them presented.